{"id":1616,"date":"2021-06-04T16:24:00","date_gmt":"2021-06-04T16:24:00","guid":{"rendered":"https:\/\/opentextbc.ca\/businesstechnicalmath\/chapter\/ratio\/"},"modified":"2021-08-31T21:32:31","modified_gmt":"2021-08-31T21:32:31","slug":"ratio","status":"publish","type":"chapter","link":"https:\/\/opentextbc.ca\/businesstechnicalmath\/chapter\/ratio\/","title":{"raw":"6.2 Ratio, Rate, and Percent; Health Applications","rendered":"6.2 Ratio, Rate, and Percent; Health Applications"},"content":{"raw":"[latexpage]\n<div class=\"textbox textbox--learning-objectives\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">Learning Objectives<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n\nBy the end of this section it is expected that you will be able to:\n<ul>\n \t<li>Write a ratio as a fraction<\/li>\n \t<li>Application of ratio<\/li>\n \t<li>Write ratio as a fraction<\/li>\n \t<li>Find unit rate<\/li>\n \t<li>Use the definition of percent<\/li>\n \t<li>Convert percents to fractions and decimals<\/li>\n \t<li>Convert decimals and fractions to percents<\/li>\n<\/ul>\n<\/div>\n<\/div>\n<h1 data-type=\"title\">Write a Ratio as a Fraction<\/h1>\n<div id=\"fs-id2925047\" data-type=\"note\">\n<div data-type=\"title\">\n<div class=\"textbox textbox--key-takeaways\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">Ratios<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n\nA ratio compares two numbers or two quantities that are measured with the same unit. The ratio of \\(a\\) to \\(b\\) is written \\(a\\phantom{\\rule{0.2em}{0ex}}\\text{to}\\phantom{\\rule{0.2em}{0ex}}b,\\phantom{\\rule{0.2em}{0ex}}\\frac{a}{b},\\phantom{\\rule{0.2em}{0ex}}\\text{or}\\phantom{\\rule{0.2em}{0ex}}\\mathit{\\text{a}}\\text{:}\\mathit{\\text{b}}\\text{.}\\)\n\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<p id=\"fs-id2174009\">In this section, we will use the fraction notation. When a ratio is written in fraction form, the fraction should be simplified. If it is an improper fraction, we do not change it to a mixed number. Because a ratio compares two quantities, we would leave a ratio as \\(\\frac{4}{1}\\) instead of simplifying it to \\(4\\) so that we can see the two parts of the ratio.<\/p>\n\n<div class=\"textbox textbox--examples\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">EXAMPLE 1<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id2428076\" data-type=\"problem\">\n<p id=\"fs-id1598407\">Write each ratio as a fraction: a) \\(\\phantom{\\rule{0.2em}{0ex}}15\\phantom{\\rule{0.2em}{0ex}}\\text{to}\\phantom{\\rule{0.2em}{0ex}}27\\phantom{\\rule{0.2em}{0ex}}\\) b) \\(\\phantom{\\rule{0.2em}{0ex}}45\\phantom{\\rule{0.2em}{0ex}}\\text{to}\\phantom{\\rule{0.2em}{0ex}}18\\).<\/p>\n\n<\/div>\n<div id=\"fs-id3264602\" data-type=\"solution\">\n<div data-type=\"title\"><\/div>\n<div data-type=\"title\"><strong>Solution<\/strong><\/div>\n<\/div>\n<\/div>\n<div class=\"textbox__content\">\n<div id=\"fs-id3264602\" data-type=\"solution\">\n<div data-type=\"title\">a)<\/div>\n<div data-type=\"title\">\n<table style=\"border-collapse: collapse; width: 100%;\" border=\"0\">\n<tbody>\n<tr>\n<td style=\"width: 50%;\"><\/td>\n<td style=\"width: 50%;\">\\(\\text{15 to 27}\\)<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">Write as a fraction with the first number in the numerator and the second in the denominator.<\/td>\n<td style=\"width: 50%;\">\\(\\frac{15}{27}\\)<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">Simplify the fraction.<\/td>\n<td style=\"width: 50%;\">\\(\\frac{5}{9}\\)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<span style=\"text-align: initial; font-size: 0.9em;\">\nWe leave the ratio in b) as an improper fraction.<\/span>\n\n<\/div>\n<div data-type=\"solution\"><\/div>\n<div data-type=\"solution\">b)<\/div>\n<div data-type=\"solution\">\n<table style=\"border-collapse: collapse; width: 100%; height: 64px;\" border=\"0\">\n<tbody>\n<tr style=\"height: 16px;\">\n<td style=\"width: 50%; height: 16px;\"><\/td>\n<td style=\"width: 50%; height: 16px;\">\\(\\text{45 to 18}\\)<\/td>\n<\/tr>\n<tr style=\"height: 32px;\">\n<td style=\"width: 50%; height: 32px;\">Write as a fraction with the first number in the numerator and the second in the denominator.<\/td>\n<td style=\"width: 50%; height: 32px;\">\\(\\frac{45}{18}\\)<\/td>\n<\/tr>\n<tr style=\"height: 16px;\">\n<td style=\"width: 50%; height: 16px;\">Simplify.<\/td>\n<td style=\"width: 50%; height: 16px;\">\\(\\frac{5}{2}\\)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 1<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id4126304\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1970639\" data-type=\"exercise\">\n<div id=\"fs-id2621619\" data-type=\"problem\">\n<p id=\"fs-id2224304\">Write each ratio as a fraction: a) \\(\\phantom{\\rule{0.2em}{0ex}}21\\phantom{\\rule{0.2em}{0ex}}\\text{to}\\phantom{\\rule{0.2em}{0ex}}56\\phantom{\\rule{0.2em}{0ex}}\\) b) \\(\\phantom{\\rule{0.2em}{0ex}}48\\phantom{\\rule{0.2em}{0ex}}\\text{to}\\phantom{\\rule{0.2em}{0ex}}32\\).<\/p>\n\n<\/div>\n<div id=\"fs-id2338367\" data-type=\"solution\"><details><summary>Show answer<\/summary>\n<ol id=\"eip-id1168469784790\" class=\"circled\" type=\"a\">\n \t<li>\\(\\phantom{\\rule{0.2em}{0ex}}\\frac{3}{8}\\)<\/li>\n \t<li>\\(\\phantom{\\rule{0.2em}{0ex}}\\frac{3}{2}\\)<\/li>\n<\/ol>\n<\/details><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<h1 data-type=\"title\">Applications of Ratios<\/h1>\n<p id=\"fs-id1787285\">One real-world application of ratios that affects many people involves measuring cholesterol in blood. The ratio of total cholesterol to HDL cholesterol is one way doctors assess a person's overall health. A ratio of less than \\(5\\) to 1 is considered good.<\/p>\n\n<div class=\"textbox textbox--examples\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">EXAMPLE 2<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1932728\" data-type=\"problem\">\n<p id=\"fs-id1788972\">Hector's total cholesterol is \\(249\\) mg\/dl and his HDL cholesterol is \\(39\\) mg\/dl. a) Find the ratio of his total cholesterol to his HDL cholesterol. b) Assuming that a ratio less than \\(5\\) to \\(1\\) is considered good, what would you suggest to Hector?<\/p>\n\n<\/div>\n<div id=\"fs-id1384190\" data-type=\"solution\">\n<div data-type=\"title\"><\/div>\n<div data-type=\"title\"><strong>Solution<\/strong><\/div>\n<div data-type=\"title\"><\/div>\n<p id=\"fs-id1325239\">a) First, write the words that express the ratio. We want to know the ratio of Hector's total cholesterol to his HDL cholesterol.<\/p>\n\n<table id=\"eip-id1168468767905\" style=\"width: 100%;\" summary=\".\" data-label=\"\">\n<tbody>\n<tr>\n<td>Write as a fraction.<\/td>\n<td>\\(\\frac{\\text{total cholesterol}}{\\text{HDL cholesterol}}\\)<\/td>\n<\/tr>\n<tr>\n<td>Substitute the values.<\/td>\n<td>\\(\\frac{249}{39}\\)<\/td>\n<\/tr>\n<tr>\n<td>Simplify.<\/td>\n<td>\\(\\frac{83}{13}\\)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\nb) Is Hector's cholesterol ratio ok? If we divide \\(83\\) by \\(13\\) we obtain approximately \\(6.4\\), so \\(\\frac{83}{13}\\approx \\frac{6.4}{1}\\). Hector's cholesterol ratio is high! Hector should either lower his total cholesterol or raise his HDL cholesterol.\n\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 2<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id4121541\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id2224017\" data-type=\"exercise\">\n<div id=\"fs-id2579052\" data-type=\"problem\">\n<p id=\"fs-id2795066\">Find the patient's ratio of total cholesterol to HDL cholesterol using the given information.<\/p>\n<p id=\"fs-id1407805\">Total cholesterol is \\(185\\) mg\/dL and HDL cholesterol is \\(40\\) mg\/dL.<\/p>\n\n<\/div>\n<div id=\"fs-id1547889\" data-type=\"solution\"><details><summary>Show answer<\/summary>\n<p id=\"fs-id1169879\">\\(\\frac{37}{8}\\)<\/p>\n\n<\/details><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<h1 data-type=\"title\">Write a Rate as a Fraction<\/h1>\nFrequently, using rate, we compare two different types of measurements. Examples of rates are \\(120\\) kilometres in \\(2\\) hours, \\(160\\) words in \\(4\\) minutes, and \\(\\text{\\$5}\\) dollars per \\(64\\) ounces.\n<div id=\"fs-id1570366\" data-type=\"note\">\n<div data-type=\"title\">\n<div class=\"textbox textbox--key-takeaways\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">Rate<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n\nA rate compares two quantities of different units. A rate is usually written as a fraction.\n\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<p id=\"fs-id1633093\">When writing a fraction as a rate, we put the first given amount with its units in the numerator and the second amount with its units in the denominator. When rates are simplified, the units remain in the numerator and denominator.<\/p>\n\n<div class=\"textbox textbox--examples\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">EXAMPLE 3<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1791031\" data-type=\"problem\">\n<p id=\"fs-id1789298\">A healthy heart has a rate around 72 beats per 60 seconds. Write this rate as a fraction.<\/p>\n\n<\/div>\n<div data-type=\"solution\">\n<div data-type=\"title\"><\/div>\n<div data-type=\"title\"><strong>Solution<\/strong><\/div>\n<table id=\"eip-id1168466124872\" style=\"height: 42px; width: 100%;\" summary=\".\" data-label=\"\">\n<tbody>\n<tr style=\"height: 14px;\">\n<td style=\"height: 14px; width: 508.406px;\"><\/td>\n<td style=\"height: 14px; width: 262.406px;\">\\(\\text{72 beats in 60 seconds}\\)<\/td>\n<\/tr>\n<tr style=\"height: 14px;\">\n<td style=\"height: 14px; width: 508.406px;\">Write as a fraction, 72 beats in the numerator and 60 seconds in the denominator.<\/td>\n<td style=\"height: 14px; width: 262.406px;\">\\(\\frac{\\text{72 beats}}{\\text{60 seconds}}\\)<\/td>\n<\/tr>\n<tr style=\"height: 14px;\">\n<td style=\"height: 14px; width: 508.406px;\"><\/td>\n<td style=\"height: 14px; width: 262.406px;\">\\(\\frac{\\text{6 beats}}{\\text{5 seconds}}\\)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p id=\"fs-id2431104\">So \\(72\\) beats in \\(60\\) seconds is equivalent to \\(\\frac{\\text{6 beats}}{\\text{5 seconds}}\\).<\/p>\n\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 3<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1858625\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1762114\" data-type=\"exercise\">\n<div id=\"fs-id2661774\" data-type=\"problem\">\n<p id=\"fs-id2496963\">Write the rate as a fraction: \\(70\\) heartbeats in \\(60\\) seconds.<\/p>\n\n<\/div>\n<div id=\"fs-id3208365\" data-type=\"solution\"><details><summary>Show answer<\/summary>\\(\\frac{\\text{7 heartbeats}}{\\text{6 seconds}}\\)\n\n<\/details><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<h1>Find Unit Rate<\/h1>\n<p id=\"fs-id2670535\">In the last example, we calculated that a healthy heart beats at a rate of \\(\\frac{\\text{6 beats}}{\\text{5 seconds}}\\). This tells us that every 5 seconds there are 6 heart beats. This is correct, but not very useful. We usually want the rate to reflect the number of beats in one second. A rate that has a denominator of \\(1\\) unit is referred to as a unit rate.<\/p>\n\n<div class=\"textbox textbox--key-takeaways\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">Unit Rate<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n\nA unit rate is a rate with denominator of \\(1\\) unit.\n\n<\/div>\n<\/div>\n<p id=\"eip-536\">To convert a rate to a unit rate, we divide the numerator by the denominator. This gives us a denominator of \\(1\\).<\/p>\n\n<div class=\"textbox textbox--examples\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">EXAMPLE 4<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id2483482\" data-type=\"problem\">\n<p id=\"fs-id3447878\">Marta had \\(\\text{\\574}\\) heartbeats in\\(\\text{8 minutes}\\). What is Marta\u2019s heartbeat rate?<\/p>\n\n<\/div>\n<div data-type=\"solution\">\n<div data-type=\"title\"><\/div>\n<div data-type=\"title\"><strong>Solution<\/strong><\/div>\n<table id=\"eip-id1168467375743\" style=\"height: 56px; width: 100%;\" summary=\".\" data-label=\"\">\n<tbody>\n<tr style=\"height: 14px;\">\n<td style=\"height: 14px; width: 361.406px;\">Start with a rate of heartbeats to minutes. Then divide.<\/td>\n<td style=\"height: 14px; width: 288.406px;\">\\(\\text{\\574 heartbeats in 8 minutes}\\)<\/td>\n<\/tr>\n<tr style=\"height: 14px;\">\n<td style=\"height: 14px; width: 361.406px;\">Write as a rate.<\/td>\n<td style=\"height: 14px; width: 288.406px;\">\\(\\frac{\\574}{\\text{8 minutes}}\\)<\/td>\n<\/tr>\n<tr style=\"height: 14px;\">\n<td style=\"height: 14px; width: 361.406px;\">Divide the numerator by the denominator.<\/td>\n<td style=\"height: 14px; width: 288.406px;\">\\(\\frac{\\72}{\\text{1 minute}}\\)<\/td>\n<\/tr>\n<tr style=\"height: 14px;\">\n<td style=\"height: 14px; width: 361.406px;\">Rewrite as a rate.<\/td>\n<td style=\"height: 14px; width: 288.406px;\">\\(\\72\/\\text{minute}\\)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p id=\"fs-id3319256\">Marta\u2019s heartbeat rate is \\(\\text{\\72}\\) per minute.<\/p>\n\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 4<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<div class=\"try\" data-type=\"note\">\n<div id=\"fs-id1408511\" data-type=\"exercise\">\n<div id=\"fs-id3291859\" data-type=\"problem\">\n<p id=\"fs-id1578836\">Find the unit rate: \\(\\text{\\816 heartbeats}\\) in\u00a0 \\(12\\) minutes.<\/p>\n\n<\/div>\n<div id=\"fs-id1862093\" data-type=\"solution\"><details><summary>Show answer<\/summary>\n<p id=\"fs-id3195535\">\\68 heartbeats\/minute<\/p>\n\n<\/details><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div id=\"fs-id1166479044214\" class=\"be-prepared\" data-type=\"note\">\n<h1>Use the Definition of Percent<\/h1>\n<div id=\"fs-id1514473\" class=\"bc-section section\" data-depth=\"1\">\n<p id=\"fs-id1943818\">How many cents are in one dollar? There are \\(100\\) cents in a dollar. How many years are in a century? There are \\(100\\) years in a century. Does this give you a clue about what the word \u201cpercent\u201d means? It is really two words, \u201cper cent,\u201d and means per one hundred. A percent is a ratio whose denominator is \\(100\\). We use the percent symbol \\(\\text{\\%,}\\) to show percent.<\/p>\n\n<div id=\"fs-id1471096\" data-type=\"note\">\n<div data-type=\"title\">\n<div class=\"textbox textbox--key-takeaways\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">Percent<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n\nA percent is a ratio whose denominator is \\(100\\).\n\n<\/div>\n<\/div>\nAccording to the data from Statistics Canada (2009),\u00a0 \\(\\text{57\\%}\\) of 6-11 year olds have or have had a cavity. This means \\(57\\) out of every \\(100\\) of 6-11 year olds have or have had a cavity. As <a class=\"autogenerated-content\" href=\"#CNX_BMath_Figure_06_01_001\">(Figure 1)<\/a> shows out of the \\(100\\) squares on the grid, \\(57\\) are shaded, which we write as the ratio \\(\\frac{57}{100}\\).\n\n<\/div>\n<\/div>\n<div id=\"CNX_BMath_Figure_06_01_001\" class=\"bc-figure figure\">\n<div class=\"bc-figcaption figcaption\"><\/div>\n\n[caption id=\"\" align=\"aligncenter\" width=\"177\"]<img src=\"https:\/\/opentextbc.ca\/oerdiscipline\/wp-content\/uploads\/sites\/361\/2021\/06\/CNX_BMath_Figure_06_01_001.jpg\" alt=\"The figure shows a hundred flat with 57 units shaded.\" width=\"177\" height=\"177\" data-media-type=\"image\/jpeg\"> Figure 1[\/caption]\n\n<\/div>\n<p id=\"fs-id1166497180213\">Similarly, \\(\\text{25\\%}\\) means a ratio of \\(\\frac{25}{100},\\text{3\\%}\\) means a ratio of \\(\\frac{3}{100}\\) and \\(\\text{100\\%}\\) means a ratio of \\(\\frac{100}{100}\\). In words, \"one hundred percent\" means the total \\(\\text{100\\%}\\) is \\(\\frac{100}{100}\\), and since \\(\\frac{100}{100}=1\\), we see that \\(\\text{100\\%}\\) means \\(1\\) whole.<\/p>\n\n<div class=\"textbox textbox--examples\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">EXAMPLE 5<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1166492885649\" data-type=\"problem\">\n<p id=\"fs-id1166492887200\">According to a Government of Canada report updated on \\left(July 9, 2021\\right \\text{,}\\phantom{\\rule{0.2em}{0ex}}\\text{68\\%}\\) of total population received at least on dose of COVID-19 vaccine. Write this percent as a ratio.<\/p>\n\n<\/div>\n<div id=\"fs-id1166494770627\" data-type=\"solution\">\n<div data-type=\"title\"><\/div>\n<div data-type=\"title\"><strong>Solution<\/strong><\/div>\n<table id=\"eip-id1168468695064\" style=\"width: 100%;\" summary=\".\" data-label=\"\">\n<tbody>\n<tr>\n<td>The amount we want to convert is 68%.<\/td>\n<td>\\(68\\%\\)<\/td>\n<\/tr>\n<tr>\n<td>Write the percent as a ratio. Remember that <em data-effect=\"italics\">percent<\/em> means per 100.<\/td>\n<td>\\(\\frac{68}{100}\\)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 5<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1166491403168\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1680436\" data-type=\"exercise\">\n<div id=\"fs-id1166484190953\" data-type=\"problem\">\n<p id=\"fs-id1166490832126\">Write the percent as a ratio.<\/p>\n<p id=\"fs-id1166482410858\">According to the report from example 5, \\(\\text{32\\%}\\) of total population is partially vaccinated.<\/p>\n\n<\/div>\n<div id=\"fs-id1166493721422\" data-type=\"solution\"><details open=\"open\"><summary>Show answer<\/summary>\n<p id=\"fs-id1166498435488\">\\(\\frac{32}{100}\\)<\/p>\n\n<\/details><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<h1>Convert Percents to Fractions and Decimals<\/h1>\n<div id=\"fs-id1739947\" class=\"bc-section section\" data-depth=\"1\">\n<p id=\"fs-id1166494771210\">Since percents are ratios, they can easily be expressed as fractions. Remember that <span class=\"no-emphasis\" data-type=\"term\">percent<\/span> means per \\(100\\), so the denominator of the fraction is \\(100\\).<\/p>\n\n<div class=\"textbox textbox--key-takeaways\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">Convert a Percent to a Fraction.<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<ol id=\"eip-id1168469672602\" class=\"stepwise\" type=\"1\">\n \t<li>Write the percent as a ratio with the denominator \\(100\\).<\/li>\n \t<li>Simplify the fraction if possible.<\/li>\n<\/ol>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--examples\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">EXAMPLE 6<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1166491426870\" data-type=\"problem\">\n<p id=\"fs-id1166497327081\">According to the report from example 5, \\(\\text{36\\%}\\) of total population is fully vaccinated.Convert the percent to a fraction:<\/p>\n\n<\/div>\n<div id=\"fs-id1166490858433\" data-type=\"solution\">\n<div data-type=\"title\"><\/div>\n<div data-type=\"title\"><strong>Solution<\/strong><\/div>\n<table id=\"eip-id1168468456602\" style=\"width: 100%;\" summary=\".\" data-label=\"\">\n<tbody>\n<tr>\n<td><\/td>\n<td>\\(36\\%\\)<\/td>\n<\/tr>\n<tr>\n<td>Write as a ratio with denominator 100.<\/td>\n<td>\\(\\frac{36}{100}\\)<\/td>\n<\/tr>\n<tr>\n<td>Simplify.<\/td>\n<td>\\(\\frac{9}{25}\\)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<\/div>\n<div id=\"fs-id1248689\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1708831\" data-type=\"exercise\">\n<div id=\"fs-id757964\" data-type=\"problem\">\n<div class=\"textbox textbox--exercises\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 6<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1736013\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1789063\" data-type=\"exercise\">\n<div id=\"fs-id1166483071581\" data-type=\"problem\">\n<p id=\"fs-id1956463\">According to the report from example 5, just slightly over \\(\\text{40\\%}\\) of 12 years and older population is fully vaccinated.Convert the percent to a fraction:<\/p>\n\n<\/div>\n<div id=\"fs-id956069\" data-type=\"solution\"><details open=\"open\"><summary>Show answer<\/summary>\\(\\phantom{\\rule{0.2em}{0ex}}\\frac{2}{5}\\phantom{\\rule{0.2em}{0ex}}\\)\n\n<\/details><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<p id=\"fs-id1398289\">To convert a percent to a decimal, we first convert it to a fraction and then change the fraction to a decimal.<\/p>\n\n<div id=\"fs-id1513787\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1438347\" data-type=\"exercise\">\n<div id=\"fs-id1297432\" data-type=\"problem\">\n<div class=\"textbox textbox--key-takeaways\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">HOW TO: Convert a Percent to a Decimal<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<ol id=\"eip-id1168468771396\" class=\"stepwise\" type=\"1\">\n \t<li>Write the percent as a ratio with the denominator \\(100\\).<\/li>\n \t<li>Convert the fraction to a decimal by dividing the numerator by the denominator.<\/li>\n<\/ol>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div id=\"fs-id1739947\" class=\"bc-section section\" data-depth=\"1\">\n<div id=\"fs-id1733102\" class=\"howto\" data-type=\"note\">\n<div class=\"textbox textbox--examples\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">EXAMPLE 7<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1281337\" data-type=\"problem\">\n<p id=\"fs-id1481236\">a) Adult males typically are composed of about 60 % water. Convert the percent to a decimal.<\/p>\nb) Adult females typically are composted of 55% water. Convert the percent to a decimal\n\n&nbsp;\n\n<\/div>\n<div id=\"fs-id1324442\" data-type=\"solution\">\n<div data-type=\"title\"><strong>Solution<\/strong><\/div>\n<div data-type=\"title\"><\/div>\n<p id=\"fs-id1498474\">Because we want to change to a decimal, we will leave the fractions with denominator \\(100\\) instead of removing common factors.<\/p>\n\n<table id=\"eip-id1168468510747\" style=\"width: 100%;\" summary=\".\" data-label=\"\">\n<tbody>\n<tr>\n<td style=\"width: 74.0909%;\">a)<\/td>\n<td style=\"width: 25.7955%;\"><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 74.0909%;\"><\/td>\n<td style=\"width: 25.7955%;\">\\(60\\%\\)<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 74.0909%;\">Write as a ratio with denominator 100.<\/td>\n<td style=\"width: 25.7955%;\">\\(\\frac{60}{100}\\)<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 74.0909%;\">Change the fraction to a decimal by dividing the numerator by the denominator.<\/td>\n<td style=\"width: 25.7955%;\">\\(0.60\\)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table id=\"eip-id1168468668708\" style=\"width: 100%;\" summary=\".\" data-label=\"\">\n<tbody>\n<tr>\n<td style=\"width: 74.0909%;\">b)<\/td>\n<td style=\"width: 25.7955%;\"><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 74.0909%;\"><\/td>\n<td style=\"width: 25.7955%;\">\\(55\\%\\)<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 74.0909%;\">Write as a ratio with denominator 100.<\/td>\n<td style=\"width: 25.7955%;\">\\(\\frac{55}{100}\\)<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 74.0909%;\">Change the fraction to a decimal by dividing the numerator by the denominator.<\/td>\n<td style=\"width: 25.7955%;\">\\(0.55\\)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n&nbsp;\n\n<\/div>\n<\/div>\n<\/div>\n<div id=\"fs-id1472487\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1469427\" data-type=\"exercise\">\n<div id=\"fs-id1559058\" data-type=\"problem\">\n<div class=\"textbox textbox--exercises\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 7<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1472487\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1469427\" data-type=\"exercise\">\n<div id=\"fs-id1559058\" data-type=\"problem\">\n<p id=\"fs-id1546817\">Convert each percent to a decimal:<\/p>\n\n<ol id=\"eip-id1168466281091\" class=\"circled\" type=\"a\">\n \t<li>\\(\\phantom{\\rule{0.3em}{0ex}}\\text{9\\%}\\phantom{\\rule{0.3em}{0ex}}\\)<\/li>\n \t<li>\\(\\phantom{\\rule{0.3em}{0ex}}\\text{87\\%}\\)<\/li>\n<\/ol>\n<\/div>\n<div id=\"fs-id1166497392043\" data-type=\"solution\"><details open=\"open\"><summary>Show answer<\/summary>\n<ol id=\"eip-id1168469702190\" class=\"circled\" type=\"a\">\n \t<li>0.09<\/li>\n \t<li>0.87<\/li>\n<\/ol>\n<\/details><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<p id=\"eip-724\">To convert a <span class=\"no-emphasis\" data-type=\"term\">percent<\/span> number to a decimal number, we move the decimal point two places to the left and remove the \\(\\%\\) sign. (Sometimes the decimal point does not appear in the percent number, but just like we can think of the integer \\(6\\) as \\(6.0\\), we can think of \\(\\text{6\\%}\\) as \\(\\text{6.0\\%}\\).) Notice that we may need to add zeros in front of the number when moving the decimal to the left.<\/p>\n<p id=\"fs-id1518056\"><a class=\"autogenerated-content\" href=\"#CNX_BMath_Figure_06_01_002_img\">(Figure 2)<\/a> uses the percents in the table above and shows visually how to convert them to decimals by moving the decimal point two places to the left.<\/p>\n\n<div id=\"CNX_BMath_Figure_06_01_002_img\" class=\"bc-figure figure\">\n\n[caption id=\"\" align=\"aligncenter\" width=\"227\"]<img src=\"https:\/\/opentextbc.ca\/oerdiscipline\/wp-content\/uploads\/sites\/361\/2021\/06\/CNX_BMath_Figure_06_01_003.jpg\" alt=\"The figures shows two columns and five rows . The first row is a header row and it labels each column \u201cPercent\u201d and \u201cDecimal\u201d. Under the \u201cPercent\u201d column are the values: 6%, 78%, 135%, 12.5%. Under the \u201cDecimal\u201d column are the values: 0.06, 0.78, 1.35, 0.125. There are two jumps for each percent to show how to convert it to a decimal.\" width=\"227\" height=\"160\" data-media-type=\"image\/jpeg\"> Figure 2[\/caption]\n\n<\/div>\n<\/div>\n<h1>Convert Decimals and Fractions to Percents<\/h1>\n<div id=\"fs-id1770916\" class=\"bc-section section\" data-depth=\"1\">\n<p id=\"fs-id1166484173923\">To convert a decimal to a <span class=\"no-emphasis\" data-type=\"term\">percent<\/span>, remember that percent means per hundred. If we change the decimal to a fraction whose denominator is \\(100\\), it is easy to change that fraction to a percent.<\/p>\n\n<div class=\"textbox textbox--key-takeaways\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">HOW TO: Convert a Decimal to a Percent<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<ol id=\"eip-id1168469368569\" class=\"stepwise\" type=\"1\">\n \t<li>Write the decimal as a fraction.<\/li>\n \t<li>If the denominator of the fraction is not \\(100\\), rewrite it as an equivalent fraction with denominator \\(100\\).<\/li>\n \t<li>Write this ratio as a percent.<\/li>\n<\/ol>\n<\/div>\n<\/div>\n<\/div>\n<div id=\"fs-id1770916\" class=\"bc-section section\" data-depth=\"1\">\n<div id=\"fs-id1482807\" class=\"howto\" data-type=\"note\">\n<div class=\"textbox textbox--examples\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">EXAMPLE 8<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1475446\" data-type=\"problem\">\n<p id=\"fs-id1166497392617\">Convert each decimal to a percent: a) \\(\\phantom{\\rule{0.2em}{0ex}}0.05\\phantom{\\rule{0.2em}{0ex}}\\) b) \\(\\phantom{\\rule{0.2em}{0ex}}0.83\\)<\/p>\n\n<\/div>\n<div data-type=\"solution\">\n<div data-type=\"title\"><\/div>\n<div data-type=\"title\"><strong>Solution<\/strong><\/div>\n<table id=\"eip-id1168466164139\" style=\"width: 100%;\" summary=\".\" data-label=\"\">\n<tbody>\n<tr>\n<td style=\"width: 59.0909%;\">a)<\/td>\n<td style=\"width: 40.7955%;\"><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 59.0909%;\"><\/td>\n<td style=\"width: 40.7955%;\">\\(0.05\\)<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 59.0909%;\">Write as a fraction. The denominator is 100.<\/td>\n<td style=\"width: 40.7955%;\">\\(\\frac{5}{100}\\)<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 59.0909%;\">Write this ratio as a percent.<\/td>\n<td style=\"width: 40.7955%;\">\\(5\\%\\)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table id=\"eip-id1168469757904\" style=\"width: 100%;\" summary=\".\" data-label=\"\">\n<tbody>\n<tr>\n<td>b)<\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td>\\(0.83\\)<\/td>\n<\/tr>\n<tr>\n<td>The denominator is 100.<\/td>\n<td>\\(\\frac{83}{100}\\)<\/td>\n<\/tr>\n<tr>\n<td>Write this ratio as a percent.<\/td>\n<td>\\(83\\%\\)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div id=\"fs-id1166497408515\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1166491052615\" data-type=\"exercise\">\n<div id=\"fs-id1359973\" data-type=\"problem\">\n<div class=\"textbox textbox--exercises\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 8<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1166478988541\" data-type=\"problem\">\n<p id=\"fs-id1458377\">Convert each decimal to a percent: a)\\(\\phantom{\\rule{0.2em}{0ex}}0.04\\phantom{\\rule{0.2em}{0ex}}\\) b)\\(\\phantom{\\rule{0.2em}{0ex}}0.41\\)<\/p>\n\n<\/div>\n<div id=\"fs-id1469218\" data-type=\"solution\"><details open=\"open\"><summary>Show answer<\/summary>\n<ol id=\"eip-id1168468300309\" class=\"circled\" type=\"a\">\n \t<li>4%<\/li>\n \t<li>41%<\/li>\n<\/ol>\n<\/details><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<p id=\"fs-id1166498433348\">\u00a0To convert a decimal to a percent, we move the decimal point two places to the right and then add the percent sign.<\/p>\n<p id=\"fs-id1737120\"><a class=\"autogenerated-content\" href=\"#CNX_BMath_Figure_06_01_003\">(Figure.3)<\/a> uses the decimal numbers in the table above and shows visually to convert them to percents by moving the decimal point two places to the right and then writing the \\(\\%\\) sign.<\/p>\n\n<div id=\"CNX_BMath_Figure_06_01_003\" class=\"bc-figure figure\">\n\n[caption id=\"\" align=\"aligncenter\" width=\"227\"]<img src=\"https:\/\/opentextbc.ca\/oerdiscipline\/wp-content\/uploads\/sites\/361\/2021\/06\/CNX_BMath_Figure_06_01_003.jpg\" alt=\"The figure shows two columns and five rows. The first row is a header row and it labels each column \u201cDecimal\u201d and \u201cPercent\u201d. Under the \u201cDecimal\u201d column are the values: 0.05, 0.83, 1.05, 0.075, 0.3. Under the \u201cPercent\u201d column are the values: 5%, 83%, 105%, 7.5%, 30%. There are two jumps for each decimal to show how to convert it to a percent.\" width=\"227\" height=\"160\" data-media-type=\"image\/jpeg\"> Figure. 3[\/caption]\n\n<\/div>\n<p id=\"fs-id1496332\">\u00a0Now we also know how to change decimals to percents. So to convert a fraction to a percent, we first change it to a decimal and then convert that decimal to a percent.<\/p>\n\n<div class=\"textbox textbox--key-takeaways\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">HOW TO: Convert a Fraction to a Percent<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<ol id=\"eip-id1168467345664\" class=\"stepwise\" type=\"1\">\n \t<li>Convert the fraction to a decimal.<\/li>\n \t<li>Convert the decimal to a percent.<\/li>\n<\/ol>\n<\/div>\n<\/div>\n<\/div>\n<div id=\"fs-id1770916\" class=\"bc-section section\" data-depth=\"1\">\n<div id=\"fs-id1525493\" class=\"howto\" data-type=\"note\">\n<div class=\"textbox textbox--examples\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">EXAMPLE 9<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1166479060518\" data-type=\"problem\">\n<p id=\"fs-id1437113\">Convert each fraction or mixed number to a percent: a) \\(\\phantom{\\rule{0.2em}{0ex}}\\frac{3}{4}\\phantom{\\rule{0.2em}{0ex}}\\) b) \\(\\phantom{\\rule{0.2em}{0ex}}\\frac{11}{8}\\phantom{\\rule{0.2em}{0ex}}\\) c) \\(\\phantom{\\rule{0.2em}{0ex}}2\\frac{1}{5}\\)<\/p>\n\n<\/div>\n<div id=\"fs-id1166491248919\" data-type=\"solution\">\n<div data-type=\"title\"><\/div>\n<div data-type=\"title\"><strong>Solution<\/strong><\/div>\n<div data-type=\"title\"><\/div>\n<p id=\"fs-id1166484083925\">To convert a fraction to a decimal, divide the numerator by the denominator.<\/p>\n\n<table id=\"eip-id1168469639303\" style=\"width: 100%;\" summary=\"The figure shows the steps to change the fraction, three-fourths, to a percent. It shows how the fraction is written as the decimal, 0.75, and then a percent by moving the decimal point two places to the right. The percent is 75%.\" data-label=\"\">\n<tbody>\n<tr>\n<td style=\"width: 61.5909%;\">a)<\/td>\n<td style=\"width: 38.2955%;\"><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 61.5909%;\">Change to a decimal.<\/td>\n<td style=\"width: 38.2955%;\">\\(\\frac{3}{4}\\)<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 61.5909%;\">Write as a percent by moving the decimal two places.<\/td>\n<td style=\"width: 38.2955%;\"><span id=\"eip-id1168469639347\" data-type=\"media\" data-alt=\".\"><img src=\"https:\/\/opentextbc.ca\/oerdiscipline\/wp-content\/uploads\/sites\/361\/2021\/06\/CNX_BMath_Figure_06_01_004_img-01.png\" alt=\".\" data-media-type=\"image\/jpeg\"><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 61.5909%;\"><\/td>\n<td style=\"width: 38.2955%;\">\\(75\\%\\)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table id=\"eip-id1168467258997\" style=\"width: 100%;\" summary=\"The figure shows the steps to change the improper fraction, eleven-fourths, to a percent. It shows how the fraction is written as the decimal, 1.375, and then a percent by moving the decimal point two places to the right. The percent is 137.5%.\" data-label=\"\">\n<tbody>\n<tr>\n<td style=\"width: 61.5909%;\">b)<\/td>\n<td style=\"width: 38.2955%;\"><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 61.5909%;\">Change to a decimal.<\/td>\n<td style=\"width: 38.2955%;\">\\(\\frac{11}{8}\\)<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 61.5909%;\">Write as a percent by moving the decimal two places.<\/td>\n<td style=\"width: 38.2955%;\"><span id=\"eip-id1168468683894\" data-type=\"media\" data-alt=\".\"><img src=\"https:\/\/opentextbc.ca\/oerdiscipline\/wp-content\/uploads\/sites\/361\/2021\/06\/CNX_BMath_Figure_06_01_005_img-01.png\" alt=\".\" data-media-type=\"image\/jpeg\"><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 61.5909%;\"><\/td>\n<td style=\"width: 38.2955%;\">\\(137.5\\%\\)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table id=\"eip-id1168466275816\" style=\"width: 100%;\" summary=\"The figure shows the steps to change the fraction, three-fourths, to a percent. It shows how the fraction is written as the decimal, 0.75, and then a percent by moving the decimal point two places to the right. The percent is 75%.\" data-label=\"\">\n<tbody>\n<tr>\n<td style=\"width: 61.7045%;\">c)<\/td>\n<td style=\"width: 38.1818%;\"><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 61.7045%;\">Write as an improper fraction.<\/td>\n<td style=\"width: 38.1818%;\">\\(2\\frac{1}{5}\\)<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 61.7045%;\">Change to a decimal.<\/td>\n<td style=\"width: 38.1818%;\">\\(\\frac{11}{5}\\)<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 61.7045%;\">Write as a percent.<\/td>\n<td style=\"width: 38.1818%;\"><span id=\"eip-id1168469766847\" data-type=\"media\" data-alt=\".\"><img src=\"https:\/\/opentextbc.ca\/oerdiscipline\/wp-content\/uploads\/sites\/361\/2021\/06\/CNX_BMath_Figure_06_01_006_img-01.png\" alt=\".\" data-media-type=\"image\/jpeg\"><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 61.7045%;\"><\/td>\n<td style=\"width: 38.1818%;\">\\(220\\%\\)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p id=\"fs-id1438796\">Notice that we needed to add zeros at the end of the number when moving the decimal two places to the right.<\/p>\n\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div id=\"fs-id1304795\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1257936\" data-type=\"exercise\">\n<div id=\"fs-id1243718\" data-type=\"problem\">\n<div class=\"textbox textbox--exercises\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 9<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1304795\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1257936\" data-type=\"exercise\">\n<div id=\"fs-id1243718\" data-type=\"problem\">\n<p id=\"fs-id1166491052701\">Convert each fraction or mixed number to a percent: a) \\(\\frac{5}{8}\\phantom{\\rule{0.2em}{0ex}}\\) b) \\(\\frac{11}{4}\\phantom{\\rule{0.2em}{0ex}}\\) c) \\(3\\frac{2}{5}\\)<\/p>\n\n<\/div>\n<div id=\"fs-id1518484\" data-type=\"solution\"><details open=\"open\"><summary>Show answer<\/summary>\n<ol id=\"eip-id1168468528590\" class=\"circled\" type=\"a\">\n \t<li>62.5%<\/li>\n \t<li>275%<\/li>\n \t<li>340%<\/li>\n<\/ol>\n<\/details><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<p id=\"fs-id1166497179345\">Sometimes when changing a fraction to a decimal, the division continues for many decimal places and we will <span class=\"no-emphasis\" data-type=\"term\">round<\/span> off the quotient. The number of decimal places we round to will depend on the situation. If the decimal involves money, we round to the hundredths place. For most other cases in this book we will round the number to the nearest thousandth, so the percent will be rounded to the nearest tenth.<\/p>\n\n<div class=\"textbox textbox--examples\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">EXAMPLE 10<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1447708\" data-type=\"problem\">\n<p id=\"fs-id1166491411260\">Convert \\(\\frac{5}{7}\\) to a percent.<\/p>\n\n<\/div>\n<div id=\"fs-id1477736\" data-type=\"solution\">\n<div data-type=\"title\"><\/div>\n<div data-type=\"title\"><strong>Solution<\/strong><\/div>\n<div data-type=\"title\"><\/div>\n<p id=\"fs-id858098\">To change a fraction to a decimal, we divide the numerator by the denominator.<\/p>\n\n<table id=\"eip-id1168469429567\" style=\"width: 100%;\" summary=\".\" data-label=\"\">\n<tbody>\n<tr>\n<td style=\"width: 70.5682%;\"><\/td>\n<td style=\"width: 29.3182%;\">\\(\\frac{5}{7}\\)<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 70.5682%;\">Change to a decimal\u2014rounding to the nearest thousandth.<\/td>\n<td style=\"width: 29.3182%;\">\\(0.714\\)<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 70.5682%;\">Write as a percent.<\/td>\n<td style=\"width: 29.3182%;\">\\(71.4\\%\\)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<\/div>\n<div id=\"fs-id1166487867758\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1166498436125\" data-type=\"exercise\">\n<div id=\"fs-id1279945\" data-type=\"problem\">\n<div class=\"textbox textbox--exercises\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 10<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1166487867758\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1166498436125\" data-type=\"exercise\">\n<div id=\"fs-id1279945\" data-type=\"problem\">\n<p id=\"fs-id1242027\">Convert the fraction to a percent: \\(\\frac{3}{7}\\)<\/p>\n\n<\/div>\n<div id=\"fs-id1166490838581\" data-type=\"solution\"><details open=\"open\"><summary>Show answer<\/summary>\n<p id=\"fs-id1251196\">42.9%<\/p>\n\n<\/details><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<p id=\"fs-id1558574\">When we first looked at fractions and decimals, we saw that fractions converted to a <span class=\"no-emphasis\" data-type=\"term\">repeating decimal<\/span>. When we converted the fraction \\(\\frac{4}{3}\\) to a decimal, we wrote the answer as \\(1.\\overline{3}\\). We will use this same notation, as well as fraction notation, when we convert fractions to percents in the next example.<\/p>\n\n<div class=\"textbox textbox--examples\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">EXAMPLE 11<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1517196\" data-type=\"exercise\">\n<div id=\"fs-id1479355\" data-type=\"problem\">\n<p id=\"fs-id1497167\">Statistics Canada reported in 2018 that approximately \\(\\frac{1}{3}\\) of Canadian adults are obese. Convert the fraction \\(\\frac{1}{3}\\) to a percent.<\/p>\n\n<\/div>\n<div id=\"fs-id1506863\" data-type=\"solution\">\n<div data-type=\"title\"><\/div>\n<div data-type=\"title\"><strong>Solution<\/strong><\/div>\n<table id=\"eip-id1168467200205\" style=\"width: 100%;\" summary=\"The figures shows the steps to convert the fraction, one-third, to a percent. It shows how one-third is changed to a decimal using long division. The result is written as the repeating decimal 0.33.The repeating decimal is written as the percent, 33 and one-third percent. It shows that the percent can be written using the repeating decimal symbol.\" data-label=\"\">\n<tbody>\n<tr>\n<td><\/td>\n<td>\\(\\frac{1}{3}\\)<\/td>\n<\/tr>\n<tr>\n<td>Change to a decimal.<\/td>\n<td><span id=\"eip-id1168468566798\" data-type=\"media\" data-alt=\".\"><img src=\"https:\/\/opentextbc.ca\/oerdiscipline\/wp-content\/uploads\/sites\/361\/2021\/06\/CNX_BMath_Figure_06_01_007_img-01.png\" alt=\".\" data-media-type=\"image\/jpeg\"><\/span><\/td>\n<\/tr>\n<tr>\n<td>Write as a repeating decimal.<\/td>\n<td>\\(0.333\\dots \\)<\/td>\n<\/tr>\n<tr>\n<td>Write as a percent.<\/td>\n<td>\\(33\\frac{1}{3}\\%\\)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<p id=\"eip-600\">We could also write the percent as \\(33.\\stackrel{-}{3}\\%\\).<\/p>\n\n<\/div>\n<\/div>\n<div id=\"fs-id1166482443258\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1166498115839\" data-type=\"exercise\">\n<div id=\"fs-id1166484085850\" data-type=\"problem\">\n<div class=\"textbox textbox--exercises\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 11<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1166482443258\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1166498115839\" data-type=\"exercise\">\n<div id=\"fs-id1166484085850\" data-type=\"problem\">\n<p id=\"fs-id1456462\">Convert the fraction to a percent:<\/p>\n<p id=\"fs-id1746444\">According to the Canadian Census 2016, about \\(\\frac{33}{50}\\) people within the population of Canada are between the ages of \\(15\\) and \\(64\\).<\/p>\n\n<\/div>\n<div id=\"fs-id1797000\" data-type=\"solution\"><details open=\"open\"><summary>Show answer<\/summary>\n<p id=\"fs-id1538560\">\\(66.\\stackrel{-}{6}\\text{\\%,}\\phantom{\\rule{0.2em}{0ex}}\\text{or}\\phantom{\\rule{0.2em}{0ex}}11\\frac{6}{25}\\%\\)<\/p>\n\n<\/details><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--key-takeaways\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">Access to Additional Online Resources<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<ul id=\"fs-id2903898\" data-display=\"block\">\n \t<li><a href=\"http:\/\/www.openstax.org\/l\/24ratios\">Ratios<\/a><\/li>\n \t<li><a href=\"http:\/\/www.openstax.org\/l\/24ratiosimpfrac\">Write Ratios as a Simplified Fractions Involving Decimals and Fractions<\/a><\/li>\n \t<li><a href=\"http:\/\/www.openstax.org\/l\/24ratiosimp\">Write a Ratio as a Simplified Fraction<\/a><\/li>\n \t<li><a href=\"http:\/\/www.openstax.org\/l\/24rates\">Rates and Unit Rates<\/a><\/li>\n \t<li><a href=\"http:\/\/www.openstax.org\/l\/24unitrate\">Unit Rate for Cell Phone Plan<\/a><\/li>\n<\/ul>\n<\/div>\n<\/div>\n<h1>Glossary<\/h1>\n<div class=\"textbox shaded\">\n<dl id=\"fs-id4357876\">\n \t<dt>ratio<\/dt>\n \t<dd id=\"fs-id4357881\">A ratio compares two numbers or two quantities that are measured with the same unit. The ratio of \\(a\\) to \\(b\\) is written \\(a\\) to \\(b\\), \\(\\frac{a}{b}\\), or \\(a:b\\).<\/dd>\n<\/dl>\n<dl id=\"fs-id4357886\">\n \t<dt>rate<\/dt>\n \t<dd id=\"fs-id4357891\">A rate compares two quantities of different units. A rate is usually written as a fraction.<\/dd>\n<\/dl>\n<dl id=\"fs-id4357905\">\n \t<dt>unit rate<\/dt>\n \t<dd id=\"fs-id4357910\">A unit rate is a rate with denominator of 1 unit.<\/dd>\n \t<dd>\n<dl id=\"fs-id1166492881924\">\n \t<dt>percent<\/dt>\n \t<dd id=\"fs-id1166493722983\">A percent is a ratio whose denominator is \\(100\\).<\/dd>\n<\/dl>\n<\/dd>\n<\/dl>\n<\/div>\n<div id=\"fs-id1166479044214\" class=\"be-prepared\" data-type=\"note\">\n<h1>Key Concepts<\/h1>\n<ul id=\"fs-id1166490863146\" data-bullet-style=\"bullet\">\n \t<li><strong>Convert a percent to a fraction.<\/strong>\n<ol id=\"eip-id4162904\" class=\"stepwise\" type=\"1\">\n \t<li>Write the percent as a ratio with the denominator 100.<\/li>\n \t<li>Simplify the fraction if possible.<\/li>\n<\/ol>\n<\/li>\n \t<li><strong>Convert a percent to a decimal.<\/strong>\n<ol id=\"eip-id1186778\" class=\"stepwise\" type=\"1\">\n \t<li>Write the percent as a ratio with the denominator 100.<\/li>\n \t<li>Convert the fraction to a decimal by dividing the numerator by the denominator.<\/li>\n<\/ol>\n<\/li>\n \t<li><strong>Convert a decimal to a percent.<\/strong>\n<ol id=\"eip-id1186793\" class=\"stepwise\" type=\"1\">\n \t<li>Write the decimal as a fraction.<\/li>\n \t<li>If the denominator of the fraction is not 100, rewrite it as an equivalent fraction with denominator 100.<\/li>\n \t<li>Write this ratio as a percent.<\/li>\n<\/ol>\n<\/li>\n \t<li><strong>Convert a fraction to a percent.<\/strong>\n<ol id=\"eip-id1186813\" class=\"stepwise\" type=\"1\">\n \t<li>Convert the fraction to a decimal.<\/li>\n \t<li>Convert the decimal to a percent.<\/li>\n<\/ol>\n<\/li>\n<\/ul>\n<\/div>\n<h1 id=\"fs-id4211215\">6.2 Exercise Set<\/h1>\n<p id=\"eip-189\">In the following exercises, write each ratio as a fraction.<\/p>\n\n<ol class=\"twocolumn\">\n \t<li>\\(20\\) to \\(36\\)<\/li>\n \t<li>\\(42\\) to \\(48\\)<\/li>\n \t<li>\\(49\\) to \\(21\\)<\/li>\n \t<li>\\(84\\) to \\(36\\)<\/li>\n \t<li>\\(0.56\\) to \\(2.8\\)<\/li>\n \t<li>\\(28\\) ounces to \\(84\\) ounces<\/li>\n \t<li>\\(12\\) feet to \\(46\\) feet<\/li>\n \t<li>\\(246\\) milligrams to \\(45\\) milligrams<\/li>\n \t<li>total cholesterol of \\(175\\) to HDL cholesterol of \\(45\\)<\/li>\n \t<li>\\(27\\) inches to \\(1\\) foot<\/li>\n<\/ol>\n<p id=\"eip-328\">In the following exercises, find the unit rate. Round to two decimal places, if necessary.<\/p>\n\n<ol start=\"11\">\n \t<li>\\(140\\) calories per \\(12\\) ounces<\/li>\n \t<li>total cholesterol is \\(204\\) mg\/dL and HDL cholesterol is \\(38\\) mg\/dL<\/li>\n \t<li>584 beats in 8 minutes<\/li>\n \t<li>\\(43\\) pounds in \\(16\\) weeks<\/li>\n \t<li>\\(46\\) beats in \\(0.5\\) minute<\/li>\n<\/ol>\n<ol start=\"16\">\n \t<li>A popular fast food burger weighs \\(7.5\\) ounces and contains \\(540\\) calories, \\(29\\) grams of fat, \\(43\\) grams of carbohydrates, and \\(25\\) grams of protein. Find the unit rate of:\n<ol type=\"a\">\n \t<li>calories per ounce<\/li>\n \t<li>grams of fat per ounce<\/li>\n \t<li>grams of carbohydrates per ounce<\/li>\n \t<li>grams of protein per ounce. Round to two decimal places.<\/li>\n<\/ol>\n<\/li>\n<\/ol>\n<p id=\"eip-230\">In the following exercises, write each percent as a ratio.<\/p>\n\n<ol start=\"17\">\n \t<li>A patient health insurance covers \\(\\text{60\\%}\\) of the cost of his medication.<\/li>\n \t<li>\\(57\\) out of \\(100\\) nursing candidates received their degree at a community college.<\/li>\n<\/ol>\n<p id=\"eip-942\">In the following exercises, convert each percent to a fraction and simplify all fractions.<\/p>\n\n<ol class=\"twocolumn\" start=\"19\">\n \t<li>\\(\\text{4\\%}\\)<\/li>\n \t<li>\\(\\text{52\\%}\\)<\/li>\n \t<li>\\(\\text{125\\%}\\)<\/li>\n \t<li>\\(\\text{37.5\\%}\\)<\/li>\n<\/ol>\n<p id=\"fs-id1166498049777\">In the following exercises, convert each percent to a decimal.<\/p>\n\n<ol class=\"twocolumn\" start=\"23\">\n \t<li>\\(\\text{5\\%}\\)<\/li>\n \t<li>\\(\\text{63\\%}\\)<\/li>\n \t<li>\\(\\text{150\\%}\\)<\/li>\n \t<li>\\(\\text{21.4\\%}\\)<\/li>\n \t<li>COVID-19 vaccines, the Pfizer and Moderna have the hightest efficiency at around \\(\\text{95\\%}\\)<\/li>\n \t<li>A couple plans to have two children. The probability they will have two girls is \\(\\text{25\\%}\\).<\/li>\n<\/ol>\n<p id=\"eip-583\">In the following exercises, convert each decimal to a percent.<\/p>\n\n<ol class=\"twocolumn\" start=\"29\">\n \t<li>\\(0.18\\)<\/li>\n \t<li>\\(1.35\\)<\/li>\n \t<li>\\(3\\)<\/li>\n \t<li>\\(0.009\\)<\/li>\n<\/ol>\n<p id=\"fs-id1337813\">In the following exercises, convert each fraction to a percent.<\/p>\n\n<ol class=\"twocolumn\" start=\"33\">\n \t<li>\\(\\frac{3}{8}\\)<\/li>\n \t<li>\\(\\frac{5}{12}\\)<\/li>\n \t<li>\\(\\frac{3}{7}\\)<\/li>\n \t<li>According to the Government of Canada, in \\(2017,\\frac{16}{25}\\) of Canadian adults were overweight or obese.<\/li>\n<\/ol>\n<h1>Answers<\/h1>\n<ol class=\"twocolumn\">\n \t<li>\\(\\frac{5}{9}\\)<\/li>\n \t<li>\\(\\frac{7}{8}\\)<\/li>\n \t<li>\\(\\frac{7}{3}\\)<\/li>\n \t<li>\\(\\frac{7}{3}\\)<\/li>\n \t<li>\\(\\frac{1}{5}\\)<\/li>\n \t<li>\\(\\frac{1}{3}\\)<\/li>\n \t<li>\\(\\frac{6}{23}\\)<\/li>\n \t<li>\\(\\frac{82}{15}\\)<\/li>\n \t<li>\\(\\frac{35}{9}\\)<\/li>\n \t<li>\\(\\frac{9}{4}\\)<\/li>\n \t<li>11.67 calories\/ounce<\/li>\n \t<li>2.73 lbs.\/sq. in.<\/li>\n \t<li>73 beats\/minute<\/li>\n \t<li>2.69 lbs.\/week<\/li>\n \t<li>92 beats\/minute\n<ol type=\"a\">\n \t<li style=\"list-style-type: none;\">\n<ol type=\"a\">\n \t<li>72 calories\/ounce<\/li>\n \t<li>3.87 grams of fat\/ounce<\/li>\n \t<li>5.73 grams carbs\/once<\/li>\n \t<li>3.33 grams protein\/ounce<\/li>\n<\/ol>\n<\/li>\n<\/ol>\n<\/li>\n \t<li>\\(\\frac{60}{100}\\)<\/li>\n \t<li>\\(\\frac{57}{1000}\\)<\/li>\n \t<li>\\(\\frac{1}{25}\\)<\/li>\n \t<li>\\(\\frac{13}{25}\\)<\/li>\n \t<li>\\(\\frac{5}{4}\\)<\/li>\n \t<li>\\(\\frac{3}{8}\\)<\/li>\n \t<li>0.05<\/li>\n \t<li>0.63<\/li>\n \t<li>1.5<\/li>\n \t<li>0.214<\/li>\n \t<li>0.95<\/li>\n \t<li>0.25<\/li>\n \t<li>18%<\/li>\n \t<li>135%<\/li>\n \t<li>300%<\/li>\n \t<li>0.9%<\/li>\n \t<li>37.5%<\/li>\n \t<li>41.7%<\/li>\n \t<li>42.9%<\/li>\n<\/ol>\n<h1>Attributions<\/h1>\n<ol>\n \t<li>This chapter has been adapted from \u201cUnderstand Percent\u201d in <a href=\"https:\/\/openstax.org\/details\/books\/prealgebra-2e\"><em>Prealgebra<\/em><\/a> (OpenStax) by Lynn Marecek, MaryAnne Anthony-Smith, and Andrea Honeycutt Mathis, which is under a <a href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY 4.0 Licence<\/a>. Adapted by Izabela Mazur. See the Copyright page for more information.<\/li>\n \t<li><a href=\"https:\/\/pressbooks.oer.hawaii.edu\/humannutrition2\/chapter\/2-the-cardiovascular-system\/\">OER.hawaii.edu<\/a><\/li>\n \t<li>Wikipedia<\/li>\n \t<li>\u00a0Government of Canada Statistics<\/li>\n<\/ol>","rendered":"<div class=\"textbox textbox--learning-objectives\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">Learning Objectives<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<p>By the end of this section it is expected that you will be able to:<\/p>\n<ul>\n<li>Write a ratio as a fraction<\/li>\n<li>Application of ratio<\/li>\n<li>Write ratio as a fraction<\/li>\n<li>Find unit rate<\/li>\n<li>Use the definition of percent<\/li>\n<li>Convert percents to fractions and decimals<\/li>\n<li>Convert decimals and fractions to percents<\/li>\n<\/ul>\n<\/div>\n<\/div>\n<h1 data-type=\"title\">Write a Ratio as a Fraction<\/h1>\n<div id=\"fs-id2925047\" data-type=\"note\">\n<div data-type=\"title\">\n<div class=\"textbox textbox--key-takeaways\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">Ratios<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<p>A ratio compares two numbers or two quantities that are measured with the same unit. The ratio of <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-5c53d6ebabdbcfa4e107550ea60b1b19_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#97;\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"9\" style=\"vertical-align: 0px;\" \/> to <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-f56d50c26583f9a035ff6b4e3c0ca5c0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#98;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"8\" style=\"vertical-align: 0px;\" \/> is written <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-1f395cb1a347d0e9a2d5268b07d6c6cf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#97;&#92;&#112;&#104;&#97;&#110;&#116;&#111;&#109;&#123;&#92;&#114;&#117;&#108;&#101;&#123;&#48;&#46;&#50;&#101;&#109;&#125;&#123;&#48;&#101;&#120;&#125;&#125;&#92;&#116;&#101;&#120;&#116;&#123;&#116;&#111;&#125;&#92;&#112;&#104;&#97;&#110;&#116;&#111;&#109;&#123;&#92;&#114;&#117;&#108;&#101;&#123;&#48;&#46;&#50;&#101;&#109;&#125;&#123;&#48;&#101;&#120;&#125;&#125;&#98;&#44;&#92;&#112;&#104;&#97;&#110;&#116;&#111;&#109;&#123;&#92;&#114;&#117;&#108;&#101;&#123;&#48;&#46;&#50;&#101;&#109;&#125;&#123;&#48;&#101;&#120;&#125;&#125;&#92;&#102;&#114;&#97;&#99;&#123;&#97;&#125;&#123;&#98;&#125;&#44;&#92;&#112;&#104;&#97;&#110;&#116;&#111;&#109;&#123;&#92;&#114;&#117;&#108;&#101;&#123;&#48;&#46;&#50;&#101;&#109;&#125;&#123;&#48;&#101;&#120;&#125;&#125;&#92;&#116;&#101;&#120;&#116;&#123;&#111;&#114;&#125;&#92;&#112;&#104;&#97;&#110;&#116;&#111;&#109;&#123;&#92;&#114;&#117;&#108;&#101;&#123;&#48;&#46;&#50;&#101;&#109;&#125;&#123;&#48;&#101;&#120;&#125;&#125;&#92;&#109;&#97;&#116;&#104;&#105;&#116;&#123;&#92;&#116;&#101;&#120;&#116;&#123;&#97;&#125;&#125;&#92;&#116;&#101;&#120;&#116;&#123;&#58;&#125;&#92;&#109;&#97;&#116;&#104;&#105;&#116;&#123;&#92;&#116;&#101;&#120;&#116;&#123;&#98;&#125;&#125;&#92;&#116;&#101;&#120;&#116;&#123;&#46;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"121\" style=\"vertical-align: -6px;\" \/><\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<p id=\"fs-id2174009\">In this section, we will use the fraction notation. When a ratio is written in fraction form, the fraction should be simplified. If it is an improper fraction, we do not change it to a mixed number. Because a ratio compares two quantities, we would leave a ratio as <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-0091a83ece47827f9551d84b483b530f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#102;&#114;&#97;&#99;&#123;&#52;&#125;&#123;&#49;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"23\" width=\"7\" style=\"vertical-align: -7px;\" \/> instead of simplifying it to <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-6111a899fd636b7a5238708f8679f6ec_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#52;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"9\" style=\"vertical-align: -1px;\" \/> so that we can see the two parts of the ratio.<\/p>\n<div class=\"textbox textbox--examples\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">EXAMPLE 1<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id2428076\" data-type=\"problem\">\n<p id=\"fs-id1598407\">Write each ratio as a fraction: a) <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-d00582c0be334d5041ecdce6da2dec86_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#112;&#104;&#97;&#110;&#116;&#111;&#109;&#123;&#92;&#114;&#117;&#108;&#101;&#123;&#48;&#46;&#50;&#101;&#109;&#125;&#123;&#48;&#101;&#120;&#125;&#125;&#49;&#53;&#92;&#112;&#104;&#97;&#110;&#116;&#111;&#109;&#123;&#92;&#114;&#117;&#108;&#101;&#123;&#48;&#46;&#50;&#101;&#109;&#125;&#123;&#48;&#101;&#120;&#125;&#125;&#92;&#116;&#101;&#120;&#116;&#123;&#116;&#111;&#125;&#92;&#112;&#104;&#97;&#110;&#116;&#111;&#109;&#123;&#92;&#114;&#117;&#108;&#101;&#123;&#48;&#46;&#50;&#101;&#109;&#125;&#123;&#48;&#101;&#120;&#125;&#125;&#50;&#55;&#92;&#112;&#104;&#97;&#110;&#116;&#111;&#109;&#123;&#92;&#114;&#117;&#108;&#101;&#123;&#48;&#46;&#50;&#101;&#109;&#125;&#123;&#48;&#101;&#120;&#125;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"57\" style=\"vertical-align: -1px;\" \/> b) <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-7e0d4b2b38e8bb918417086e68b1c91a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#112;&#104;&#97;&#110;&#116;&#111;&#109;&#123;&#92;&#114;&#117;&#108;&#101;&#123;&#48;&#46;&#50;&#101;&#109;&#125;&#123;&#48;&#101;&#120;&#125;&#125;&#52;&#53;&#92;&#112;&#104;&#97;&#110;&#116;&#111;&#109;&#123;&#92;&#114;&#117;&#108;&#101;&#123;&#48;&#46;&#50;&#101;&#109;&#125;&#123;&#48;&#101;&#120;&#125;&#125;&#92;&#116;&#101;&#120;&#116;&#123;&#116;&#111;&#125;&#92;&#112;&#104;&#97;&#110;&#116;&#111;&#109;&#123;&#92;&#114;&#117;&#108;&#101;&#123;&#48;&#46;&#50;&#101;&#109;&#125;&#123;&#48;&#101;&#120;&#125;&#125;&#49;&#56;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"58\" style=\"vertical-align: 0px;\" \/>.<\/p>\n<\/div>\n<div id=\"fs-id3264602\" data-type=\"solution\">\n<div data-type=\"title\"><\/div>\n<div data-type=\"title\"><strong>Solution<\/strong><\/div>\n<\/div>\n<\/div>\n<div class=\"textbox__content\">\n<div id=\"fs-id3264602\" data-type=\"solution\">\n<div data-type=\"title\">a)<\/div>\n<div data-type=\"title\">\n<table style=\"border-collapse: collapse; width: 100%;\">\n<tbody>\n<tr>\n<td style=\"width: 50%;\"><\/td>\n<td style=\"width: 50%;\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-028257d2b9aed086a0a1a4b3c52157fc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#53;&#32;&#116;&#111;&#32;&#50;&#55;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"62\" style=\"vertical-align: -1px;\" \/><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">Write as a fraction with the first number in the numerator and the second in the denominator.<\/td>\n<td style=\"width: 50%;\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-114db9dc42ee0855d2f6fc764c6f66ab_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#102;&#114;&#97;&#99;&#123;&#49;&#53;&#125;&#123;&#50;&#55;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"14\" style=\"vertical-align: -6px;\" \/><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">Simplify the fraction.<\/td>\n<td style=\"width: 50%;\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-0f4ccf3e077500e691259205b8b0b08e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#102;&#114;&#97;&#99;&#123;&#53;&#125;&#123;&#57;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"7\" style=\"vertical-align: -6px;\" \/><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<p><span style=\"text-align: initial; font-size: 0.9em;\"><br \/>\nWe leave the ratio in b) as an improper fraction.<\/span><\/p>\n<\/div>\n<div data-type=\"solution\"><\/div>\n<div data-type=\"solution\">b)<\/div>\n<div data-type=\"solution\">\n<table style=\"border-collapse: collapse; width: 100%; height: 64px;\">\n<tbody>\n<tr style=\"height: 16px;\">\n<td style=\"width: 50%; height: 16px;\"><\/td>\n<td style=\"width: 50%; height: 16px;\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-cafad7b01a3bc562795ca2b11f53e174_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#52;&#53;&#32;&#116;&#111;&#32;&#49;&#56;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"63\" style=\"vertical-align: -1px;\" \/><\/td>\n<\/tr>\n<tr style=\"height: 32px;\">\n<td style=\"width: 50%; height: 32px;\">Write as a fraction with the first number in the numerator and the second in the denominator.<\/td>\n<td style=\"width: 50%; height: 32px;\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-01251461d049fd25e347e809585b5e47_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#102;&#114;&#97;&#99;&#123;&#52;&#53;&#125;&#123;&#49;&#56;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"23\" width=\"14\" style=\"vertical-align: -7px;\" \/><\/td>\n<\/tr>\n<tr style=\"height: 16px;\">\n<td style=\"width: 50%; height: 16px;\">Simplify.<\/td>\n<td style=\"width: 50%; height: 16px;\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-3c8a34714cd9e14f96438eaca16625df_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#102;&#114;&#97;&#99;&#123;&#53;&#125;&#123;&#50;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"7\" style=\"vertical-align: -6px;\" \/><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 1<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id4126304\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1970639\" data-type=\"exercise\">\n<div id=\"fs-id2621619\" data-type=\"problem\">\n<p id=\"fs-id2224304\">Write each ratio as a fraction: a) <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-4aeb64d66271399b60ea262b7ee315c1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#112;&#104;&#97;&#110;&#116;&#111;&#109;&#123;&#92;&#114;&#117;&#108;&#101;&#123;&#48;&#46;&#50;&#101;&#109;&#125;&#123;&#48;&#101;&#120;&#125;&#125;&#50;&#49;&#92;&#112;&#104;&#97;&#110;&#116;&#111;&#109;&#123;&#92;&#114;&#117;&#108;&#101;&#123;&#48;&#46;&#50;&#101;&#109;&#125;&#123;&#48;&#101;&#120;&#125;&#125;&#92;&#116;&#101;&#120;&#116;&#123;&#116;&#111;&#125;&#92;&#112;&#104;&#97;&#110;&#116;&#111;&#109;&#123;&#92;&#114;&#117;&#108;&#101;&#123;&#48;&#46;&#50;&#101;&#109;&#125;&#123;&#48;&#101;&#120;&#125;&#125;&#53;&#54;&#92;&#112;&#104;&#97;&#110;&#116;&#111;&#109;&#123;&#92;&#114;&#117;&#108;&#101;&#123;&#48;&#46;&#50;&#101;&#109;&#125;&#123;&#48;&#101;&#120;&#125;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"58\" style=\"vertical-align: -1px;\" \/> b) <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-b7bbde71ab08bfb6ed0e510df60f3534_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#112;&#104;&#97;&#110;&#116;&#111;&#109;&#123;&#92;&#114;&#117;&#108;&#101;&#123;&#48;&#46;&#50;&#101;&#109;&#125;&#123;&#48;&#101;&#120;&#125;&#125;&#52;&#56;&#92;&#112;&#104;&#97;&#110;&#116;&#111;&#109;&#123;&#92;&#114;&#117;&#108;&#101;&#123;&#48;&#46;&#50;&#101;&#109;&#125;&#123;&#48;&#101;&#120;&#125;&#125;&#92;&#116;&#101;&#120;&#116;&#123;&#116;&#111;&#125;&#92;&#112;&#104;&#97;&#110;&#116;&#111;&#109;&#123;&#92;&#114;&#117;&#108;&#101;&#123;&#48;&#46;&#50;&#101;&#109;&#125;&#123;&#48;&#101;&#120;&#125;&#125;&#51;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"57\" style=\"vertical-align: 0px;\" \/>.<\/p>\n<\/div>\n<div id=\"fs-id2338367\" data-type=\"solution\">\n<details>\n<summary>Show answer<\/summary>\n<ol id=\"eip-id1168469784790\" class=\"circled\" type=\"a\">\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-9103f054b6aab26c65159b208bfa92ac_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#112;&#104;&#97;&#110;&#116;&#111;&#109;&#123;&#92;&#114;&#117;&#108;&#101;&#123;&#48;&#46;&#50;&#101;&#109;&#125;&#123;&#48;&#101;&#120;&#125;&#125;&#92;&#102;&#114;&#97;&#99;&#123;&#51;&#125;&#123;&#56;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"7\" style=\"vertical-align: -6px;\" \/><\/li>\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-c2d278b734d583ab499304423f14bd04_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#112;&#104;&#97;&#110;&#116;&#111;&#109;&#123;&#92;&#114;&#117;&#108;&#101;&#123;&#48;&#46;&#50;&#101;&#109;&#125;&#123;&#48;&#101;&#120;&#125;&#125;&#92;&#102;&#114;&#97;&#99;&#123;&#51;&#125;&#123;&#50;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"7\" style=\"vertical-align: -6px;\" \/><\/li>\n<\/ol>\n<\/details>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<h1 data-type=\"title\">Applications of Ratios<\/h1>\n<p id=\"fs-id1787285\">One real-world application of ratios that affects many people involves measuring cholesterol in blood. The ratio of total cholesterol to HDL cholesterol is one way doctors assess a person&#8217;s overall health. A ratio of less than <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-8995e2084120c1c1f4b53f490d281bc4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#53;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"8\" style=\"vertical-align: 0px;\" \/> to 1 is considered good.<\/p>\n<div class=\"textbox textbox--examples\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">EXAMPLE 2<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1932728\" data-type=\"problem\">\n<p id=\"fs-id1788972\">Hector&#8217;s total cholesterol is <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-a9a5f8c92843abb89345db54f17988ee_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#50;&#52;&#57;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"27\" style=\"vertical-align: -1px;\" \/> mg\/dl and his HDL cholesterol is <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-a3db773b3fb1c245f782b7a601d70917_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#51;&#57;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"18\" style=\"vertical-align: 0px;\" \/> mg\/dl. a) Find the ratio of his total cholesterol to his HDL cholesterol. b) Assuming that a ratio less than <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-8995e2084120c1c1f4b53f490d281bc4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#53;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"8\" style=\"vertical-align: 0px;\" \/> to <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-4868771cbc422b5818f85500909ce433_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#49;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"7\" style=\"vertical-align: -1px;\" \/> is considered good, what would you suggest to Hector?<\/p>\n<\/div>\n<div id=\"fs-id1384190\" data-type=\"solution\">\n<div data-type=\"title\"><\/div>\n<div data-type=\"title\"><strong>Solution<\/strong><\/div>\n<div data-type=\"title\"><\/div>\n<p id=\"fs-id1325239\">a) First, write the words that express the ratio. We want to know the ratio of Hector&#8217;s total cholesterol to his HDL cholesterol.<\/p>\n<table id=\"eip-id1168468767905\" style=\"width: 100%;\" summary=\".\" data-label=\"\">\n<tbody>\n<tr>\n<td>Write as a fraction.<\/td>\n<td><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-8fde3ea2fed2ee7bf35a54cae2a2f88e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#102;&#114;&#97;&#99;&#123;&#92;&#116;&#101;&#120;&#116;&#123;&#116;&#111;&#116;&#97;&#108;&#32;&#99;&#104;&#111;&#108;&#101;&#115;&#116;&#101;&#114;&#111;&#108;&#125;&#125;&#123;&#92;&#116;&#101;&#120;&#116;&#123;&#72;&#68;&#76;&#32;&#99;&#104;&#111;&#108;&#101;&#115;&#116;&#101;&#114;&#111;&#108;&#125;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"24\" width=\"98\" style=\"vertical-align: -7px;\" \/><\/td>\n<\/tr>\n<tr>\n<td>Substitute the values.<\/td>\n<td><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-353023b9e371a625e87d6a713fa8ff8c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#102;&#114;&#97;&#99;&#123;&#50;&#52;&#57;&#125;&#123;&#51;&#57;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"21\" style=\"vertical-align: -6px;\" \/><\/td>\n<\/tr>\n<tr>\n<td>Simplify.<\/td>\n<td><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-d67a2216c9c31048efba22b089f73aa9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#102;&#114;&#97;&#99;&#123;&#56;&#51;&#125;&#123;&#49;&#51;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"23\" width=\"14\" style=\"vertical-align: -7px;\" \/><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>b) Is Hector&#8217;s cholesterol ratio ok? If we divide <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-37c9486c23c8660d4383d35aeb048770_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#56;&#51;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"18\" style=\"vertical-align: 0px;\" \/> by <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-837d0d6b05c238eddf106b68ec9dcfd6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#49;&#51;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"17\" style=\"vertical-align: -1px;\" \/> we obtain approximately <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-2b8b57c573c0b1b6df32e2039245210d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#54;&#46;&#52;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"23\" style=\"vertical-align: -1px;\" \/>, so <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-5360b976d4e646bc7596458d8905d5c7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#102;&#114;&#97;&#99;&#123;&#56;&#51;&#125;&#123;&#49;&#51;&#125;&#92;&#97;&#112;&#112;&#114;&#111;&#120;&#32;&#92;&#102;&#114;&#97;&#99;&#123;&#54;&#46;&#52;&#125;&#123;&#49;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"59\" style=\"vertical-align: -6px;\" \/>. Hector&#8217;s cholesterol ratio is high! Hector should either lower his total cholesterol or raise his HDL cholesterol.<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 2<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id4121541\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id2224017\" data-type=\"exercise\">\n<div id=\"fs-id2579052\" data-type=\"problem\">\n<p id=\"fs-id2795066\">Find the patient&#8217;s ratio of total cholesterol to HDL cholesterol using the given information.<\/p>\n<p id=\"fs-id1407805\">Total cholesterol is <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-6e7f9aecf04439833356dedda9d0cd4c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#49;&#56;&#53;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"25\" style=\"vertical-align: -1px;\" \/> mg\/dL and HDL cholesterol is <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-89bc2c119dcafc9b555c6b2841530d2f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#52;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"18\" style=\"vertical-align: -1px;\" \/> mg\/dL.<\/p>\n<\/div>\n<div id=\"fs-id1547889\" data-type=\"solution\">\n<details>\n<summary>Show answer<\/summary>\n<p id=\"fs-id1169879\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-f8b63231e5d21f07f5552732195c83d3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#102;&#114;&#97;&#99;&#123;&#51;&#55;&#125;&#123;&#56;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"14\" style=\"vertical-align: -6px;\" \/><\/p>\n<\/details>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<h1 data-type=\"title\">Write a Rate as a Fraction<\/h1>\n<p>Frequently, using rate, we compare two different types of measurements. Examples of rates are <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-454fa4f8a22c90ab5a5245afd540f8f8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#49;&#50;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"26\" style=\"vertical-align: -1px;\" \/> kilometres in <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-e584dd0bab4e6c8efc164939c28db757_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"8\" style=\"vertical-align: 0px;\" \/> hours, <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-21b40b26dcd5c46e571710b78f863a87_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#49;&#54;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"26\" style=\"vertical-align: -1px;\" \/> words in <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-6111a899fd636b7a5238708f8679f6ec_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#52;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"9\" style=\"vertical-align: -1px;\" \/> minutes, and <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-c11bef6e896c0edccfa742e4977937b3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#92;&#36;&#53;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"17\" style=\"vertical-align: -1px;\" \/> dollars per <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-de25eb06760758d2c59eb63fca270413_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#54;&#52;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"18\" style=\"vertical-align: -1px;\" \/> ounces.<\/p>\n<div id=\"fs-id1570366\" data-type=\"note\">\n<div data-type=\"title\">\n<div class=\"textbox textbox--key-takeaways\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">Rate<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<p>A rate compares two quantities of different units. A rate is usually written as a fraction.<\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<p id=\"fs-id1633093\">When writing a fraction as a rate, we put the first given amount with its units in the numerator and the second amount with its units in the denominator. When rates are simplified, the units remain in the numerator and denominator.<\/p>\n<div class=\"textbox textbox--examples\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">EXAMPLE 3<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1791031\" data-type=\"problem\">\n<p id=\"fs-id1789298\">A healthy heart has a rate around 72 beats per 60 seconds. Write this rate as a fraction.<\/p>\n<\/div>\n<div data-type=\"solution\">\n<div data-type=\"title\"><\/div>\n<div data-type=\"title\"><strong>Solution<\/strong><\/div>\n<table id=\"eip-id1168466124872\" style=\"height: 42px; width: 100%;\" summary=\".\" data-label=\"\">\n<tbody>\n<tr style=\"height: 14px;\">\n<td style=\"height: 14px; width: 508.406px;\"><\/td>\n<td style=\"height: 14px; width: 262.406px;\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-ab7bd828e35e999bc18cb1863c2d6f6c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#55;&#50;&#32;&#98;&#101;&#97;&#116;&#115;&#32;&#105;&#110;&#32;&#54;&#48;&#32;&#115;&#101;&#99;&#111;&#110;&#100;&#115;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"174\" style=\"vertical-align: -1px;\" \/><\/td>\n<\/tr>\n<tr style=\"height: 14px;\">\n<td style=\"height: 14px; width: 508.406px;\">Write as a fraction, 72 beats in the numerator and 60 seconds in the denominator.<\/td>\n<td style=\"height: 14px; width: 262.406px;\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-623a0271129918cae304ccd24ffa0d98_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#102;&#114;&#97;&#99;&#123;&#92;&#116;&#101;&#120;&#116;&#123;&#55;&#50;&#32;&#98;&#101;&#97;&#116;&#115;&#125;&#125;&#123;&#92;&#116;&#101;&#120;&#116;&#123;&#54;&#48;&#32;&#115;&#101;&#99;&#111;&#110;&#100;&#115;&#125;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"64\" style=\"vertical-align: -6px;\" \/><\/td>\n<\/tr>\n<tr style=\"height: 14px;\">\n<td style=\"height: 14px; width: 508.406px;\"><\/td>\n<td style=\"height: 14px; width: 262.406px;\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-e9b0d582d16965fb38ea7416e53e7bb6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#102;&#114;&#97;&#99;&#123;&#92;&#116;&#101;&#120;&#116;&#123;&#54;&#32;&#98;&#101;&#97;&#116;&#115;&#125;&#125;&#123;&#92;&#116;&#101;&#120;&#116;&#123;&#53;&#32;&#115;&#101;&#99;&#111;&#110;&#100;&#115;&#125;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"57\" style=\"vertical-align: -6px;\" \/><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p id=\"fs-id2431104\">So <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-c7bef200c216bbe8be23cd2a2c1371d5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#55;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"17\" style=\"vertical-align: 0px;\" \/> beats in <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-7029ea134aa43ac5ffd9f780e196307d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#54;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"18\" style=\"vertical-align: 0px;\" \/> seconds is equivalent to <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-e9b0d582d16965fb38ea7416e53e7bb6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#102;&#114;&#97;&#99;&#123;&#92;&#116;&#101;&#120;&#116;&#123;&#54;&#32;&#98;&#101;&#97;&#116;&#115;&#125;&#125;&#123;&#92;&#116;&#101;&#120;&#116;&#123;&#53;&#32;&#115;&#101;&#99;&#111;&#110;&#100;&#115;&#125;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"57\" style=\"vertical-align: -6px;\" \/>.<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 3<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1858625\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1762114\" data-type=\"exercise\">\n<div id=\"fs-id2661774\" data-type=\"problem\">\n<p id=\"fs-id2496963\">Write the rate as a fraction: <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-87249b4c68e9c45ed2c73045ffb24b4b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#55;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"18\" style=\"vertical-align: 0px;\" \/> heartbeats in <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-7029ea134aa43ac5ffd9f780e196307d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#54;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"18\" style=\"vertical-align: 0px;\" \/> seconds.<\/p>\n<\/div>\n<div id=\"fs-id3208365\" data-type=\"solution\">\n<details>\n<summary>Show answer<\/summary>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-5b1339db962a38eb81be5db6f78b5293_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#102;&#114;&#97;&#99;&#123;&#92;&#116;&#101;&#120;&#116;&#123;&#55;&#32;&#104;&#101;&#97;&#114;&#116;&#98;&#101;&#97;&#116;&#115;&#125;&#125;&#123;&#92;&#116;&#101;&#120;&#116;&#123;&#54;&#32;&#115;&#101;&#99;&#111;&#110;&#100;&#115;&#125;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"75\" style=\"vertical-align: -6px;\" \/><\/p>\n<\/details>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<h1>Find Unit Rate<\/h1>\n<p id=\"fs-id2670535\">In the last example, we calculated that a healthy heart beats at a rate of <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-e9b0d582d16965fb38ea7416e53e7bb6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#102;&#114;&#97;&#99;&#123;&#92;&#116;&#101;&#120;&#116;&#123;&#54;&#32;&#98;&#101;&#97;&#116;&#115;&#125;&#125;&#123;&#92;&#116;&#101;&#120;&#116;&#123;&#53;&#32;&#115;&#101;&#99;&#111;&#110;&#100;&#115;&#125;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"57\" style=\"vertical-align: -6px;\" \/>. This tells us that every 5 seconds there are 6 heart beats. This is correct, but not very useful. We usually want the rate to reflect the number of beats in one second. A rate that has a denominator of <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-4868771cbc422b5818f85500909ce433_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#49;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"7\" style=\"vertical-align: -1px;\" \/> unit is referred to as a unit rate.<\/p>\n<div class=\"textbox textbox--key-takeaways\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">Unit Rate<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<p>A unit rate is a rate with denominator of <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-4868771cbc422b5818f85500909ce433_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#49;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"7\" style=\"vertical-align: -1px;\" \/> unit.<\/p>\n<\/div>\n<\/div>\n<p id=\"eip-536\">To convert a rate to a unit rate, we divide the numerator by the denominator. This gives us a denominator of <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-4868771cbc422b5818f85500909ce433_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#49;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"7\" style=\"vertical-align: -1px;\" \/>.<\/p>\n<div class=\"textbox textbox--examples\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">EXAMPLE 4<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id2483482\" data-type=\"problem\">\n<p id=\"fs-id3447878\">Marta had <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-2602fbabbf689eacfecd62ee6ec18055_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#92;&#53;&#55;&#52;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"18\" style=\"vertical-align: 0px;\" \/> heartbeats in<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-a2069cc40d45d2a2bb8267b926924fd3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#56;&#32;&#109;&#105;&#110;&#117;&#116;&#101;&#115;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"76\" style=\"vertical-align: 0px;\" \/>. What is Marta\u2019s heartbeat rate?<\/p>\n<\/div>\n<div data-type=\"solution\">\n<div data-type=\"title\"><\/div>\n<div data-type=\"title\"><strong>Solution<\/strong><\/div>\n<table id=\"eip-id1168467375743\" style=\"height: 56px; width: 100%;\" summary=\".\" data-label=\"\">\n<tbody>\n<tr style=\"height: 14px;\">\n<td style=\"height: 14px; width: 361.406px;\">Start with a rate of heartbeats to minutes. Then divide.<\/td>\n<td style=\"height: 14px; width: 288.406px;\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-d1327752a6287b0219288fba0140a702_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#92;&#53;&#55;&#52;&#32;&#104;&#101;&#97;&#114;&#116;&#98;&#101;&#97;&#116;&#115;&#32;&#105;&#110;&#32;&#56;&#32;&#109;&#105;&#110;&#117;&#116;&#101;&#115;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"207\" style=\"vertical-align: -1px;\" \/><\/td>\n<\/tr>\n<tr style=\"height: 14px;\">\n<td style=\"height: 14px; width: 361.406px;\">Write as a rate.<\/td>\n<td style=\"height: 14px; width: 288.406px;\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-f302e730360ed773a8c917ca693cfc34_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#102;&#114;&#97;&#99;&#123;&#92;&#53;&#55;&#52;&#125;&#123;&#92;&#116;&#101;&#120;&#116;&#123;&#56;&#32;&#109;&#105;&#110;&#117;&#116;&#101;&#115;&#125;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"59\" style=\"vertical-align: -6px;\" \/><\/td>\n<\/tr>\n<tr style=\"height: 14px;\">\n<td style=\"height: 14px; width: 361.406px;\">Divide the numerator by the denominator.<\/td>\n<td style=\"height: 14px; width: 288.406px;\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-3e07d773aac8484a9705e1c3ce8bce26_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#102;&#114;&#97;&#99;&#123;&#92;&#55;&#50;&#125;&#123;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#32;&#109;&#105;&#110;&#117;&#116;&#101;&#125;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"54\" style=\"vertical-align: -6px;\" \/><\/td>\n<\/tr>\n<tr style=\"height: 14px;\">\n<td style=\"height: 14px; width: 361.406px;\">Rewrite as a rate.<\/td>\n<td style=\"height: 14px; width: 288.406px;\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-27eb1d8b3c25d948c0b13deec817925a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#55;&#50;&#47;&#92;&#116;&#101;&#120;&#116;&#123;&#109;&#105;&#110;&#117;&#116;&#101;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"72\" style=\"vertical-align: -5px;\" \/><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p id=\"fs-id3319256\">Marta\u2019s heartbeat rate is <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-9d6cfb6cfd70cb2d9fae1b8fa5da2aec_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#92;&#55;&#50;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"8\" style=\"vertical-align: 0px;\" \/> per minute.<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 4<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div class=\"try\" data-type=\"note\">\n<div id=\"fs-id1408511\" data-type=\"exercise\">\n<div id=\"fs-id3291859\" data-type=\"problem\">\n<p id=\"fs-id1578836\">Find the unit rate: <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-b91d830fe8dd63c31970e9b1ceaef213_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#92;&#56;&#49;&#54;&#32;&#104;&#101;&#97;&#114;&#116;&#98;&#101;&#97;&#116;&#115;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"104\" style=\"vertical-align: -1px;\" \/> in\u00a0 <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-40f7428479801bf4ef27a5149e9df526_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#49;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"16\" style=\"vertical-align: -1px;\" \/> minutes.<\/p>\n<\/div>\n<div id=\"fs-id1862093\" data-type=\"solution\">\n<details>\n<summary>Show answer<\/summary>\n<p id=\"fs-id3195535\">\\68 heartbeats\/minute<\/p>\n<\/details>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div id=\"fs-id1166479044214\" class=\"be-prepared\" data-type=\"note\">\n<h1>Use the Definition of Percent<\/h1>\n<div id=\"fs-id1514473\" class=\"bc-section section\" data-depth=\"1\">\n<p id=\"fs-id1943818\">How many cents are in one dollar? There are <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-2c4b0a8a79b7bd0e6e72a5fca0be9982_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#49;&#48;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"26\" style=\"vertical-align: -1px;\" \/> cents in a dollar. How many years are in a century? There are <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-2c4b0a8a79b7bd0e6e72a5fca0be9982_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#49;&#48;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"26\" style=\"vertical-align: -1px;\" \/> years in a century. Does this give you a clue about what the word \u201cpercent\u201d means? It is really two words, \u201cper cent,\u201d and means per one hundred. A percent is a ratio whose denominator is <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-2c4b0a8a79b7bd0e6e72a5fca0be9982_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#49;&#48;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"26\" style=\"vertical-align: -1px;\" \/>. We use the percent symbol <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-4ff2415034d767f8857393d83f150a74_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#92;&#37;&#44;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"19\" style=\"vertical-align: -4px;\" \/> to show percent.<\/p>\n<div id=\"fs-id1471096\" data-type=\"note\">\n<div data-type=\"title\">\n<div class=\"textbox textbox--key-takeaways\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">Percent<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<p>A percent is a ratio whose denominator is <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-2c4b0a8a79b7bd0e6e72a5fca0be9982_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#49;&#48;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"26\" style=\"vertical-align: -1px;\" \/>.<\/p>\n<\/div>\n<\/div>\n<p>According to the data from Statistics Canada (2009),\u00a0 <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-7fea1b310b9e6fe0249dff356c1a99f6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#53;&#55;&#92;&#37;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"32\" style=\"vertical-align: -1px;\" \/> of 6-11 year olds have or have had a cavity. This means <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-2f3c30b07ea9e3ee7f09745570dcf1b1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#53;&#55;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"18\" style=\"vertical-align: 0px;\" \/> out of every <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-2c4b0a8a79b7bd0e6e72a5fca0be9982_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#49;&#48;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"26\" style=\"vertical-align: -1px;\" \/> of 6-11 year olds have or have had a cavity. As <a class=\"autogenerated-content\" href=\"#CNX_BMath_Figure_06_01_001\">(Figure 1)<\/a> shows out of the <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-2c4b0a8a79b7bd0e6e72a5fca0be9982_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#49;&#48;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"26\" style=\"vertical-align: -1px;\" \/> squares on the grid, <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-2f3c30b07ea9e3ee7f09745570dcf1b1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#53;&#55;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"18\" style=\"vertical-align: 0px;\" \/> are shaded, which we write as the ratio <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-b5d63b64e8d514994c7bebbad05ff839_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#102;&#114;&#97;&#99;&#123;&#53;&#55;&#125;&#123;&#49;&#48;&#48;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"21\" style=\"vertical-align: -6px;\" \/>.<\/p>\n<\/div>\n<\/div>\n<div id=\"CNX_BMath_Figure_06_01_001\" class=\"bc-figure figure\">\n<div class=\"bc-figcaption figcaption\"><\/div>\n<figure style=\"width: 177px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/oerdiscipline\/wp-content\/uploads\/sites\/361\/2021\/06\/CNX_BMath_Figure_06_01_001.jpg\" alt=\"The figure shows a hundred flat with 57 units shaded.\" width=\"177\" height=\"177\" data-media-type=\"image\/jpeg\" \/><figcaption class=\"wp-caption-text\">Figure 1<\/figcaption><\/figure>\n<\/div>\n<p id=\"fs-id1166497180213\">Similarly, <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-999170fba948bd6fdce99990751ba6b1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#50;&#53;&#92;&#37;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"32\" style=\"vertical-align: -1px;\" \/> means a ratio of <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-a9636974b82b850acd528a19039cd92e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#102;&#114;&#97;&#99;&#123;&#50;&#53;&#125;&#123;&#49;&#48;&#48;&#125;&#44;&#92;&#116;&#101;&#120;&#116;&#123;&#51;&#92;&#37;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"53\" style=\"vertical-align: -6px;\" \/> means a ratio of <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-9e6db0c0093a29ee35e85ed8f2f6968d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#102;&#114;&#97;&#99;&#123;&#51;&#125;&#123;&#49;&#48;&#48;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"23\" width=\"21\" style=\"vertical-align: -7px;\" \/> and <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-e6c6ec027357c513e7e63e77bf0fb3df_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#48;&#48;&#92;&#37;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"40\" style=\"vertical-align: -1px;\" \/> means a ratio of <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-aa7004e61d7ea81309b7cc43612c9483_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#102;&#114;&#97;&#99;&#123;&#49;&#48;&#48;&#125;&#123;&#49;&#48;&#48;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"21\" style=\"vertical-align: -6px;\" \/>. In words, &#8220;one hundred percent&#8221; means the total <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-e6c6ec027357c513e7e63e77bf0fb3df_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#48;&#48;&#92;&#37;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"40\" style=\"vertical-align: -1px;\" \/> is <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-aa7004e61d7ea81309b7cc43612c9483_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#102;&#114;&#97;&#99;&#123;&#49;&#48;&#48;&#125;&#123;&#49;&#48;&#48;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"21\" style=\"vertical-align: -6px;\" \/>, and since <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-827a1d9d9dfe34670788321b584757af_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#102;&#114;&#97;&#99;&#123;&#49;&#48;&#48;&#125;&#123;&#49;&#48;&#48;&#125;&#61;&#49;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"54\" style=\"vertical-align: -6px;\" \/>, we see that <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-e6c6ec027357c513e7e63e77bf0fb3df_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#48;&#48;&#92;&#37;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"40\" style=\"vertical-align: -1px;\" \/> means <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-4868771cbc422b5818f85500909ce433_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#49;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"7\" style=\"vertical-align: -1px;\" \/> whole.<\/p>\n<div class=\"textbox textbox--examples\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">EXAMPLE 5<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1166492885649\" data-type=\"problem\">\n<p id=\"fs-id1166492887200\">According to a Government of Canada report updated on \\left(July 9, 2021\\right \\text{,}\\phantom{\\rule{0.2em}{0ex}}\\text{68\\%}\\) of total population received at least on dose of COVID-19 vaccine. Write this percent as a ratio.<\/p>\n<\/div>\n<div id=\"fs-id1166494770627\" data-type=\"solution\">\n<div data-type=\"title\"><\/div>\n<div data-type=\"title\"><strong>Solution<\/strong><\/div>\n<table id=\"eip-id1168468695064\" style=\"width: 100%;\" summary=\".\" data-label=\"\">\n<tbody>\n<tr>\n<td>The amount we want to convert is 68%.<\/td>\n<td><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-9479885071e7b37e7125143839266b7d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#54;&#56;&#92;&#37;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"32\" style=\"vertical-align: -1px;\" \/><\/td>\n<\/tr>\n<tr>\n<td>Write the percent as a ratio. Remember that <em data-effect=\"italics\">percent<\/em> means per 100.<\/td>\n<td><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-1408b0b66043dcd44a36d37c7968f02b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#102;&#114;&#97;&#99;&#123;&#54;&#56;&#125;&#123;&#49;&#48;&#48;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"21\" style=\"vertical-align: -6px;\" \/><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 5<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1166491403168\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1680436\" data-type=\"exercise\">\n<div id=\"fs-id1166484190953\" data-type=\"problem\">\n<p id=\"fs-id1166490832126\">Write the percent as a ratio.<\/p>\n<p id=\"fs-id1166482410858\">According to the report from example 5, <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-2b67cb2763d4467519b338c3e92693d0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#51;&#50;&#92;&#37;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"32\" style=\"vertical-align: -1px;\" \/> of total population is partially vaccinated.<\/p>\n<\/div>\n<div id=\"fs-id1166493721422\" data-type=\"solution\">\n<details open=\"open\">\n<summary>Show answer<\/summary>\n<p id=\"fs-id1166498435488\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-cdfbb68bd212aa546faac86a679a970d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#102;&#114;&#97;&#99;&#123;&#51;&#50;&#125;&#123;&#49;&#48;&#48;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"23\" width=\"21\" style=\"vertical-align: -7px;\" \/><\/p>\n<\/details>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<h1>Convert Percents to Fractions and Decimals<\/h1>\n<div id=\"fs-id1739947\" class=\"bc-section section\" data-depth=\"1\">\n<p id=\"fs-id1166494771210\">Since percents are ratios, they can easily be expressed as fractions. Remember that <span class=\"no-emphasis\" data-type=\"term\">percent<\/span> means per <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-2c4b0a8a79b7bd0e6e72a5fca0be9982_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#49;&#48;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"26\" style=\"vertical-align: -1px;\" \/>, so the denominator of the fraction is <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-2c4b0a8a79b7bd0e6e72a5fca0be9982_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#49;&#48;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"26\" style=\"vertical-align: -1px;\" \/>.<\/p>\n<div class=\"textbox textbox--key-takeaways\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">Convert a Percent to a Fraction.<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<ol id=\"eip-id1168469672602\" class=\"stepwise\" type=\"1\">\n<li>Write the percent as a ratio with the denominator <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-2c4b0a8a79b7bd0e6e72a5fca0be9982_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#49;&#48;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"26\" style=\"vertical-align: -1px;\" \/>.<\/li>\n<li>Simplify the fraction if possible.<\/li>\n<\/ol>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--examples\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">EXAMPLE 6<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1166491426870\" data-type=\"problem\">\n<p id=\"fs-id1166497327081\">According to the report from example 5, <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-c223ff748584a6727b9101feca250bf6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#51;&#54;&#92;&#37;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"32\" style=\"vertical-align: -1px;\" \/> of total population is fully vaccinated.Convert the percent to a fraction:<\/p>\n<\/div>\n<div id=\"fs-id1166490858433\" data-type=\"solution\">\n<div data-type=\"title\"><\/div>\n<div data-type=\"title\"><strong>Solution<\/strong><\/div>\n<table id=\"eip-id1168468456602\" style=\"width: 100%;\" summary=\".\" data-label=\"\">\n<tbody>\n<tr>\n<td><\/td>\n<td><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-6ba0c7b83f438918bd005352481e5d49_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#51;&#54;&#92;&#37;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"32\" style=\"vertical-align: -1px;\" \/><\/td>\n<\/tr>\n<tr>\n<td>Write as a ratio with denominator 100.<\/td>\n<td><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-5d9f7cf19987a0e18e552e143784627e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#102;&#114;&#97;&#99;&#123;&#51;&#54;&#125;&#123;&#49;&#48;&#48;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"23\" width=\"21\" style=\"vertical-align: -7px;\" \/><\/td>\n<\/tr>\n<tr>\n<td>Simplify.<\/td>\n<td><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-4fe45d24f8d9112967bd382d5c5444d4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#102;&#114;&#97;&#99;&#123;&#57;&#125;&#123;&#50;&#53;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"14\" style=\"vertical-align: -6px;\" \/><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<\/div>\n<div id=\"fs-id1248689\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1708831\" data-type=\"exercise\">\n<div id=\"fs-id757964\" data-type=\"problem\">\n<div class=\"textbox textbox--exercises\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 6<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1736013\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1789063\" data-type=\"exercise\">\n<div id=\"fs-id1166483071581\" data-type=\"problem\">\n<p id=\"fs-id1956463\">According to the report from example 5, just slightly over <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-52ace321301736f6f7443fd75acd070e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#52;&#48;&#92;&#37;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"32\" style=\"vertical-align: -1px;\" \/> of 12 years and older population is fully vaccinated.Convert the percent to a fraction:<\/p>\n<\/div>\n<div id=\"fs-id956069\" data-type=\"solution\">\n<details open=\"open\">\n<summary>Show answer<\/summary>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-31b1027c75a0c33166fb4cf5d3ec662b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#112;&#104;&#97;&#110;&#116;&#111;&#109;&#123;&#92;&#114;&#117;&#108;&#101;&#123;&#48;&#46;&#50;&#101;&#109;&#125;&#123;&#48;&#101;&#120;&#125;&#125;&#92;&#102;&#114;&#97;&#99;&#123;&#50;&#125;&#123;&#53;&#125;&#92;&#112;&#104;&#97;&#110;&#116;&#111;&#109;&#123;&#92;&#114;&#117;&#108;&#101;&#123;&#48;&#46;&#50;&#101;&#109;&#125;&#123;&#48;&#101;&#120;&#125;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"7\" style=\"vertical-align: -6px;\" \/><\/p>\n<\/details>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<p id=\"fs-id1398289\">To convert a percent to a decimal, we first convert it to a fraction and then change the fraction to a decimal.<\/p>\n<div id=\"fs-id1513787\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1438347\" data-type=\"exercise\">\n<div id=\"fs-id1297432\" data-type=\"problem\">\n<div class=\"textbox textbox--key-takeaways\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">HOW TO: Convert a Percent to a Decimal<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<ol id=\"eip-id1168468771396\" class=\"stepwise\" type=\"1\">\n<li>Write the percent as a ratio with the denominator <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-2c4b0a8a79b7bd0e6e72a5fca0be9982_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#49;&#48;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"26\" style=\"vertical-align: -1px;\" \/>.<\/li>\n<li>Convert the fraction to a decimal by dividing the numerator by the denominator.<\/li>\n<\/ol>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div id=\"fs-id1739947\" class=\"bc-section section\" data-depth=\"1\">\n<div id=\"fs-id1733102\" class=\"howto\" data-type=\"note\">\n<div class=\"textbox textbox--examples\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">EXAMPLE 7<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1281337\" data-type=\"problem\">\n<p id=\"fs-id1481236\">a) Adult males typically are composed of about 60 % water. Convert the percent to a decimal.<\/p>\n<p>b) Adult females typically are composted of 55% water. Convert the percent to a decimal<\/p>\n<p>&nbsp;<\/p>\n<\/div>\n<div id=\"fs-id1324442\" data-type=\"solution\">\n<div data-type=\"title\"><strong>Solution<\/strong><\/div>\n<div data-type=\"title\"><\/div>\n<p id=\"fs-id1498474\">Because we want to change to a decimal, we will leave the fractions with denominator <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-2c4b0a8a79b7bd0e6e72a5fca0be9982_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#49;&#48;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"26\" style=\"vertical-align: -1px;\" \/> instead of removing common factors.<\/p>\n<table id=\"eip-id1168468510747\" style=\"width: 100%;\" summary=\".\" data-label=\"\">\n<tbody>\n<tr>\n<td style=\"width: 74.0909%;\">a)<\/td>\n<td style=\"width: 25.7955%;\"><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 74.0909%;\"><\/td>\n<td style=\"width: 25.7955%;\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-a9b4be838a63ec8189ec3f6615b1ba3e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#54;&#48;&#92;&#37;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"32\" style=\"vertical-align: -1px;\" \/><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 74.0909%;\">Write as a ratio with denominator 100.<\/td>\n<td style=\"width: 25.7955%;\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-d949817bbeabc7f79774b71eec6d9db7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#102;&#114;&#97;&#99;&#123;&#54;&#48;&#125;&#123;&#49;&#48;&#48;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"21\" style=\"vertical-align: -6px;\" \/><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 74.0909%;\">Change the fraction to a decimal by dividing the numerator by the denominator.<\/td>\n<td style=\"width: 25.7955%;\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-8774eaae0b69c9dff8ac00c632570137_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#48;&#46;&#54;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"32\" style=\"vertical-align: 0px;\" \/><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table id=\"eip-id1168468668708\" style=\"width: 100%;\" summary=\".\" data-label=\"\">\n<tbody>\n<tr>\n<td style=\"width: 74.0909%;\">b)<\/td>\n<td style=\"width: 25.7955%;\"><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 74.0909%;\"><\/td>\n<td style=\"width: 25.7955%;\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-c2b19f36cd9c397f6c048fdea0563076_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#53;&#53;&#92;&#37;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"32\" style=\"vertical-align: -1px;\" \/><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 74.0909%;\">Write as a ratio with denominator 100.<\/td>\n<td style=\"width: 25.7955%;\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-4dcc5514be6cb5cfeef51c0c4f17b693_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#102;&#114;&#97;&#99;&#123;&#53;&#53;&#125;&#123;&#49;&#48;&#48;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"21\" style=\"vertical-align: -6px;\" \/><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 74.0909%;\">Change the fraction to a decimal by dividing the numerator by the denominator.<\/td>\n<td style=\"width: 25.7955%;\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-ff74be0c3a519c8d6de1487b1fd7cf67_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#48;&#46;&#53;&#53;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"31\" style=\"vertical-align: 0px;\" \/><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<p>&nbsp;<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div id=\"fs-id1472487\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1469427\" data-type=\"exercise\">\n<div id=\"fs-id1559058\" data-type=\"problem\">\n<div class=\"textbox textbox--exercises\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 7<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1472487\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1469427\" data-type=\"exercise\">\n<div id=\"fs-id1559058\" data-type=\"problem\">\n<p id=\"fs-id1546817\">Convert each percent to a decimal:<\/p>\n<ol id=\"eip-id1168466281091\" class=\"circled\" type=\"a\">\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-403ad0a6625018fc264bcbd3436078aa_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#112;&#104;&#97;&#110;&#116;&#111;&#109;&#123;&#92;&#114;&#117;&#108;&#101;&#123;&#48;&#46;&#51;&#101;&#109;&#125;&#123;&#48;&#101;&#120;&#125;&#125;&#92;&#116;&#101;&#120;&#116;&#123;&#57;&#92;&#37;&#125;&#92;&#112;&#104;&#97;&#110;&#116;&#111;&#109;&#123;&#92;&#114;&#117;&#108;&#101;&#123;&#48;&#46;&#51;&#101;&#109;&#125;&#123;&#48;&#101;&#120;&#125;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"23\" style=\"vertical-align: -1px;\" \/><\/li>\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-c88f96ccf8f4b3b89fd6669d640b0f68_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#112;&#104;&#97;&#110;&#116;&#111;&#109;&#123;&#92;&#114;&#117;&#108;&#101;&#123;&#48;&#46;&#51;&#101;&#109;&#125;&#123;&#48;&#101;&#120;&#125;&#125;&#92;&#116;&#101;&#120;&#116;&#123;&#56;&#55;&#92;&#37;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"32\" style=\"vertical-align: -1px;\" \/><\/li>\n<\/ol>\n<\/div>\n<div id=\"fs-id1166497392043\" data-type=\"solution\">\n<details open=\"open\">\n<summary>Show answer<\/summary>\n<ol id=\"eip-id1168469702190\" class=\"circled\" type=\"a\">\n<li>0.09<\/li>\n<li>0.87<\/li>\n<\/ol>\n<\/details>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<p id=\"eip-724\">To convert a <span class=\"no-emphasis\" data-type=\"term\">percent<\/span> number to a decimal number, we move the decimal point two places to the left and remove the <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-bf0eaef28263fe389d27c69703bee6d4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#37;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"14\" style=\"vertical-align: -1px;\" \/> sign. (Sometimes the decimal point does not appear in the percent number, but just like we can think of the integer <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-b5c3e12330dabaeec7413281aba0f134_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#54;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: 0px;\" \/> as <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-6e45907354b72cfc004ac366b89ff39b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#54;&#46;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"23\" style=\"vertical-align: 0px;\" \/>, we can think of <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-feec6048edaea1632e3a334282db0c1f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#54;&#92;&#37;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"23\" style=\"vertical-align: -1px;\" \/> as <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-5890674dd2459d858762fdcf14c6682b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#54;&#46;&#48;&#92;&#37;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"37\" style=\"vertical-align: -1px;\" \/>.) Notice that we may need to add zeros in front of the number when moving the decimal to the left.<\/p>\n<p id=\"fs-id1518056\"><a class=\"autogenerated-content\" href=\"#CNX_BMath_Figure_06_01_002_img\">(Figure 2)<\/a> uses the percents in the table above and shows visually how to convert them to decimals by moving the decimal point two places to the left.<\/p>\n<div id=\"CNX_BMath_Figure_06_01_002_img\" class=\"bc-figure figure\">\n<figure style=\"width: 227px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/oerdiscipline\/wp-content\/uploads\/sites\/361\/2021\/06\/CNX_BMath_Figure_06_01_003.jpg\" alt=\"The figures shows two columns and five rows . The first row is a header row and it labels each column \u201cPercent\u201d and \u201cDecimal\u201d. Under the \u201cPercent\u201d column are the values: 6%, 78%, 135%, 12.5%. Under the \u201cDecimal\u201d column are the values: 0.06, 0.78, 1.35, 0.125. There are two jumps for each percent to show how to convert it to a decimal.\" width=\"227\" height=\"160\" data-media-type=\"image\/jpeg\" \/><figcaption class=\"wp-caption-text\">Figure 2<\/figcaption><\/figure>\n<\/div>\n<\/div>\n<h1>Convert Decimals and Fractions to Percents<\/h1>\n<div id=\"fs-id1770916\" class=\"bc-section section\" data-depth=\"1\">\n<p id=\"fs-id1166484173923\">To convert a decimal to a <span class=\"no-emphasis\" data-type=\"term\">percent<\/span>, remember that percent means per hundred. If we change the decimal to a fraction whose denominator is <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-2c4b0a8a79b7bd0e6e72a5fca0be9982_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#49;&#48;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"26\" style=\"vertical-align: -1px;\" \/>, it is easy to change that fraction to a percent.<\/p>\n<div class=\"textbox textbox--key-takeaways\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">HOW TO: Convert a Decimal to a Percent<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<ol id=\"eip-id1168469368569\" class=\"stepwise\" type=\"1\">\n<li>Write the decimal as a fraction.<\/li>\n<li>If the denominator of the fraction is not <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-2c4b0a8a79b7bd0e6e72a5fca0be9982_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#49;&#48;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"26\" style=\"vertical-align: -1px;\" \/>, rewrite it as an equivalent fraction with denominator <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-2c4b0a8a79b7bd0e6e72a5fca0be9982_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#49;&#48;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"26\" style=\"vertical-align: -1px;\" \/>.<\/li>\n<li>Write this ratio as a percent.<\/li>\n<\/ol>\n<\/div>\n<\/div>\n<\/div>\n<div id=\"fs-id1770916\" class=\"bc-section section\" data-depth=\"1\">\n<div id=\"fs-id1482807\" class=\"howto\" data-type=\"note\">\n<div class=\"textbox textbox--examples\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">EXAMPLE 8<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1475446\" data-type=\"problem\">\n<p id=\"fs-id1166497392617\">Convert each decimal to a percent: a) <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-3f9d01b097cc1f64c4c55c5f64b9d882_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#112;&#104;&#97;&#110;&#116;&#111;&#109;&#123;&#92;&#114;&#117;&#108;&#101;&#123;&#48;&#46;&#50;&#101;&#109;&#125;&#123;&#48;&#101;&#120;&#125;&#125;&#48;&#46;&#48;&#53;&#92;&#112;&#104;&#97;&#110;&#116;&#111;&#109;&#123;&#92;&#114;&#117;&#108;&#101;&#123;&#48;&#46;&#50;&#101;&#109;&#125;&#123;&#48;&#101;&#120;&#125;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"31\" style=\"vertical-align: 0px;\" \/> b) <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-d8cb59f2845799eab87f960a1acb7127_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#112;&#104;&#97;&#110;&#116;&#111;&#109;&#123;&#92;&#114;&#117;&#108;&#101;&#123;&#48;&#46;&#50;&#101;&#109;&#125;&#123;&#48;&#101;&#120;&#125;&#125;&#48;&#46;&#56;&#51;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"32\" style=\"vertical-align: 0px;\" \/><\/p>\n<\/div>\n<div data-type=\"solution\">\n<div data-type=\"title\"><\/div>\n<div data-type=\"title\"><strong>Solution<\/strong><\/div>\n<table id=\"eip-id1168466164139\" style=\"width: 100%;\" summary=\".\" data-label=\"\">\n<tbody>\n<tr>\n<td style=\"width: 59.0909%;\">a)<\/td>\n<td style=\"width: 40.7955%;\"><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 59.0909%;\"><\/td>\n<td style=\"width: 40.7955%;\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-85aea7e8b3349fd31d6be446a3fe992b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#48;&#46;&#48;&#53;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"31\" style=\"vertical-align: 0px;\" \/><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 59.0909%;\">Write as a fraction. The denominator is 100.<\/td>\n<td style=\"width: 40.7955%;\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-80bbf71727b1b273f8872262887b93c0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#102;&#114;&#97;&#99;&#123;&#53;&#125;&#123;&#49;&#48;&#48;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"23\" width=\"21\" style=\"vertical-align: -7px;\" \/><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 59.0909%;\">Write this ratio as a percent.<\/td>\n<td style=\"width: 40.7955%;\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-914788ff6b643e7c732b19825fa6458c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#53;&#92;&#37;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"23\" style=\"vertical-align: -1px;\" \/><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table id=\"eip-id1168469757904\" style=\"width: 100%;\" summary=\".\" data-label=\"\">\n<tbody>\n<tr>\n<td>b)<\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-79198520370cb4b8021e33e351e1bffc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#48;&#46;&#56;&#51;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"32\" style=\"vertical-align: 0px;\" \/><\/td>\n<\/tr>\n<tr>\n<td>The denominator is 100.<\/td>\n<td><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-1859ef45836981efce96c3e60661fd61_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#102;&#114;&#97;&#99;&#123;&#56;&#51;&#125;&#123;&#49;&#48;&#48;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"23\" width=\"21\" style=\"vertical-align: -7px;\" \/><\/td>\n<\/tr>\n<tr>\n<td>Write this ratio as a percent.<\/td>\n<td><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-7535ebf58c9830569980afab6e9c7f1b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#56;&#51;&#92;&#37;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"32\" style=\"vertical-align: -1px;\" \/><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div id=\"fs-id1166497408515\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1166491052615\" data-type=\"exercise\">\n<div id=\"fs-id1359973\" data-type=\"problem\">\n<div class=\"textbox textbox--exercises\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 8<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1166478988541\" data-type=\"problem\">\n<p id=\"fs-id1458377\">Convert each decimal to a percent: a)<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-b3755eb9dba8f4b1e0df0f304b86d6b8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#112;&#104;&#97;&#110;&#116;&#111;&#109;&#123;&#92;&#114;&#117;&#108;&#101;&#123;&#48;&#46;&#50;&#101;&#109;&#125;&#123;&#48;&#101;&#120;&#125;&#125;&#48;&#46;&#48;&#52;&#92;&#112;&#104;&#97;&#110;&#116;&#111;&#109;&#123;&#92;&#114;&#117;&#108;&#101;&#123;&#48;&#46;&#50;&#101;&#109;&#125;&#123;&#48;&#101;&#120;&#125;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"32\" style=\"vertical-align: -1px;\" \/> b)<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-71bdd6920051dc32bb4d9ee349caf2e9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#112;&#104;&#97;&#110;&#116;&#111;&#109;&#123;&#92;&#114;&#117;&#108;&#101;&#123;&#48;&#46;&#50;&#101;&#109;&#125;&#123;&#48;&#101;&#120;&#125;&#125;&#48;&#46;&#52;&#49;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"31\" style=\"vertical-align: -1px;\" \/><\/p>\n<\/div>\n<div id=\"fs-id1469218\" data-type=\"solution\">\n<details open=\"open\">\n<summary>Show answer<\/summary>\n<ol id=\"eip-id1168468300309\" class=\"circled\" type=\"a\">\n<li>4%<\/li>\n<li>41%<\/li>\n<\/ol>\n<\/details>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<p id=\"fs-id1166498433348\">\u00a0To convert a decimal to a percent, we move the decimal point two places to the right and then add the percent sign.<\/p>\n<p id=\"fs-id1737120\"><a class=\"autogenerated-content\" href=\"#CNX_BMath_Figure_06_01_003\">(Figure.3)<\/a> uses the decimal numbers in the table above and shows visually to convert them to percents by moving the decimal point two places to the right and then writing the <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-bf0eaef28263fe389d27c69703bee6d4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#37;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"14\" style=\"vertical-align: -1px;\" \/> sign.<\/p>\n<div id=\"CNX_BMath_Figure_06_01_003\" class=\"bc-figure figure\">\n<figure style=\"width: 227px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/oerdiscipline\/wp-content\/uploads\/sites\/361\/2021\/06\/CNX_BMath_Figure_06_01_003.jpg\" alt=\"The figure shows two columns and five rows. The first row is a header row and it labels each column \u201cDecimal\u201d and \u201cPercent\u201d. Under the \u201cDecimal\u201d column are the values: 0.05, 0.83, 1.05, 0.075, 0.3. Under the \u201cPercent\u201d column are the values: 5%, 83%, 105%, 7.5%, 30%. There are two jumps for each decimal to show how to convert it to a percent.\" width=\"227\" height=\"160\" data-media-type=\"image\/jpeg\" \/><figcaption class=\"wp-caption-text\">Figure. 3<\/figcaption><\/figure>\n<\/div>\n<p id=\"fs-id1496332\">\u00a0Now we also know how to change decimals to percents. So to convert a fraction to a percent, we first change it to a decimal and then convert that decimal to a percent.<\/p>\n<div class=\"textbox textbox--key-takeaways\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">HOW TO: Convert a Fraction to a Percent<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<ol id=\"eip-id1168467345664\" class=\"stepwise\" type=\"1\">\n<li>Convert the fraction to a decimal.<\/li>\n<li>Convert the decimal to a percent.<\/li>\n<\/ol>\n<\/div>\n<\/div>\n<\/div>\n<div id=\"fs-id1770916\" class=\"bc-section section\" data-depth=\"1\">\n<div id=\"fs-id1525493\" class=\"howto\" data-type=\"note\">\n<div class=\"textbox textbox--examples\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">EXAMPLE 9<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1166479060518\" data-type=\"problem\">\n<p id=\"fs-id1437113\">Convert each fraction or mixed number to a percent: a) <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-aa88d180c859992fcf80c4762c286fcd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#112;&#104;&#97;&#110;&#116;&#111;&#109;&#123;&#92;&#114;&#117;&#108;&#101;&#123;&#48;&#46;&#50;&#101;&#109;&#125;&#123;&#48;&#101;&#120;&#125;&#125;&#92;&#102;&#114;&#97;&#99;&#123;&#51;&#125;&#123;&#52;&#125;&#92;&#112;&#104;&#97;&#110;&#116;&#111;&#109;&#123;&#92;&#114;&#117;&#108;&#101;&#123;&#48;&#46;&#50;&#101;&#109;&#125;&#123;&#48;&#101;&#120;&#125;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"7\" style=\"vertical-align: -6px;\" \/> b) <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-bfb13612533fbcd4b63a25f423905b5e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#112;&#104;&#97;&#110;&#116;&#111;&#109;&#123;&#92;&#114;&#117;&#108;&#101;&#123;&#48;&#46;&#50;&#101;&#109;&#125;&#123;&#48;&#101;&#120;&#125;&#125;&#92;&#102;&#114;&#97;&#99;&#123;&#49;&#49;&#125;&#123;&#56;&#125;&#92;&#112;&#104;&#97;&#110;&#116;&#111;&#109;&#123;&#92;&#114;&#117;&#108;&#101;&#123;&#48;&#46;&#50;&#101;&#109;&#125;&#123;&#48;&#101;&#120;&#125;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"14\" style=\"vertical-align: -6px;\" \/> c) <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-bed42ef65b11faa18f8123a3aa3f1831_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#112;&#104;&#97;&#110;&#116;&#111;&#109;&#123;&#92;&#114;&#117;&#108;&#101;&#123;&#48;&#46;&#50;&#101;&#109;&#125;&#123;&#48;&#101;&#120;&#125;&#125;&#50;&#92;&#102;&#114;&#97;&#99;&#123;&#49;&#125;&#123;&#53;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"17\" style=\"vertical-align: -6px;\" \/><\/p>\n<\/div>\n<div id=\"fs-id1166491248919\" data-type=\"solution\">\n<div data-type=\"title\"><\/div>\n<div data-type=\"title\"><strong>Solution<\/strong><\/div>\n<div data-type=\"title\"><\/div>\n<p id=\"fs-id1166484083925\">To convert a fraction to a decimal, divide the numerator by the denominator.<\/p>\n<table id=\"eip-id1168469639303\" style=\"width: 100%;\" summary=\"The figure shows the steps to change the fraction, three-fourths, to a percent. It shows how the fraction is written as the decimal, 0.75, and then a percent by moving the decimal point two places to the right. The percent is 75%.\" data-label=\"\">\n<tbody>\n<tr>\n<td style=\"width: 61.5909%;\">a)<\/td>\n<td style=\"width: 38.2955%;\"><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 61.5909%;\">Change to a decimal.<\/td>\n<td style=\"width: 38.2955%;\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-469181e98c8ec4b1bce8f57ea4ba4e31_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#102;&#114;&#97;&#99;&#123;&#51;&#125;&#123;&#52;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"7\" style=\"vertical-align: -6px;\" \/><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 61.5909%;\">Write as a percent by moving the decimal two places.<\/td>\n<td style=\"width: 38.2955%;\"><span id=\"eip-id1168469639347\" data-type=\"media\" data-alt=\".\"><img decoding=\"async\" src=\"https:\/\/opentextbc.ca\/oerdiscipline\/wp-content\/uploads\/sites\/361\/2021\/06\/CNX_BMath_Figure_06_01_004_img-01.png\" alt=\".\" data-media-type=\"image\/jpeg\" \/><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 61.5909%;\"><\/td>\n<td style=\"width: 38.2955%;\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-0f1b47ce022cf8b89af2e03eddef3d44_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#55;&#53;&#92;&#37;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"32\" style=\"vertical-align: -1px;\" \/><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table id=\"eip-id1168467258997\" style=\"width: 100%;\" summary=\"The figure shows the steps to change the improper fraction, eleven-fourths, to a percent. It shows how the fraction is written as the decimal, 1.375, and then a percent by moving the decimal point two places to the right. The percent is 137.5%.\" data-label=\"\">\n<tbody>\n<tr>\n<td style=\"width: 61.5909%;\">b)<\/td>\n<td style=\"width: 38.2955%;\"><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 61.5909%;\">Change to a decimal.<\/td>\n<td style=\"width: 38.2955%;\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-9deb028bb2822163ee3aa88f47c67bfe_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#102;&#114;&#97;&#99;&#123;&#49;&#49;&#125;&#123;&#56;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"14\" style=\"vertical-align: -6px;\" \/><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 61.5909%;\">Write as a percent by moving the decimal two places.<\/td>\n<td style=\"width: 38.2955%;\"><span id=\"eip-id1168468683894\" data-type=\"media\" data-alt=\".\"><img decoding=\"async\" src=\"https:\/\/opentextbc.ca\/oerdiscipline\/wp-content\/uploads\/sites\/361\/2021\/06\/CNX_BMath_Figure_06_01_005_img-01.png\" alt=\".\" data-media-type=\"image\/jpeg\" \/><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 61.5909%;\"><\/td>\n<td style=\"width: 38.2955%;\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-606e48430269463b4e08e9215976c464_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#49;&#51;&#55;&#46;&#53;&#92;&#37;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"54\" style=\"vertical-align: -1px;\" \/><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table id=\"eip-id1168466275816\" style=\"width: 100%;\" summary=\"The figure shows the steps to change the fraction, three-fourths, to a percent. It shows how the fraction is written as the decimal, 0.75, and then a percent by moving the decimal point two places to the right. The percent is 75%.\" data-label=\"\">\n<tbody>\n<tr>\n<td style=\"width: 61.7045%;\">c)<\/td>\n<td style=\"width: 38.1818%;\"><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 61.7045%;\">Write as an improper fraction.<\/td>\n<td style=\"width: 38.1818%;\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-b6da6b22882461a53a095333975a3cdc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#50;&#92;&#102;&#114;&#97;&#99;&#123;&#49;&#125;&#123;&#53;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"18\" style=\"vertical-align: -6px;\" \/><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 61.7045%;\">Change to a decimal.<\/td>\n<td style=\"width: 38.1818%;\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-1239857d5f8f2f1f3625981723d94b50_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#102;&#114;&#97;&#99;&#123;&#49;&#49;&#125;&#123;&#53;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"14\" style=\"vertical-align: -6px;\" \/><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 61.7045%;\">Write as a percent.<\/td>\n<td style=\"width: 38.1818%;\"><span id=\"eip-id1168469766847\" data-type=\"media\" data-alt=\".\"><img decoding=\"async\" src=\"https:\/\/opentextbc.ca\/oerdiscipline\/wp-content\/uploads\/sites\/361\/2021\/06\/CNX_BMath_Figure_06_01_006_img-01.png\" alt=\".\" data-media-type=\"image\/jpeg\" \/><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 61.7045%;\"><\/td>\n<td style=\"width: 38.1818%;\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-2737dc493c243d5565105444bf05026e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#50;&#50;&#48;&#92;&#37;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"41\" style=\"vertical-align: -1px;\" \/><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p id=\"fs-id1438796\">Notice that we needed to add zeros at the end of the number when moving the decimal two places to the right.<\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div id=\"fs-id1304795\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1257936\" data-type=\"exercise\">\n<div id=\"fs-id1243718\" data-type=\"problem\">\n<div class=\"textbox textbox--exercises\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 9<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1304795\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1257936\" data-type=\"exercise\">\n<div id=\"fs-id1243718\" data-type=\"problem\">\n<p id=\"fs-id1166491052701\">Convert each fraction or mixed number to a percent: a) <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-66cf2ca22d2eccae4c2cb6cdfbecfb40_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#102;&#114;&#97;&#99;&#123;&#53;&#125;&#123;&#56;&#125;&#92;&#112;&#104;&#97;&#110;&#116;&#111;&#109;&#123;&#92;&#114;&#117;&#108;&#101;&#123;&#48;&#46;&#50;&#101;&#109;&#125;&#123;&#48;&#101;&#120;&#125;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"7\" style=\"vertical-align: -6px;\" \/> b) <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-86a4efad98cdb389a7e1e2074a26e94c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#102;&#114;&#97;&#99;&#123;&#49;&#49;&#125;&#123;&#52;&#125;&#92;&#112;&#104;&#97;&#110;&#116;&#111;&#109;&#123;&#92;&#114;&#117;&#108;&#101;&#123;&#48;&#46;&#50;&#101;&#109;&#125;&#123;&#48;&#101;&#120;&#125;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"14\" style=\"vertical-align: -6px;\" \/> c) <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-0626e85b1398c6502ea52a0acbecc401_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#51;&#92;&#102;&#114;&#97;&#99;&#123;&#50;&#125;&#123;&#53;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"18\" style=\"vertical-align: -6px;\" \/><\/p>\n<\/div>\n<div id=\"fs-id1518484\" data-type=\"solution\">\n<details open=\"open\">\n<summary>Show answer<\/summary>\n<ol id=\"eip-id1168468528590\" class=\"circled\" type=\"a\">\n<li>62.5%<\/li>\n<li>275%<\/li>\n<li>340%<\/li>\n<\/ol>\n<\/details>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<p id=\"fs-id1166497179345\">Sometimes when changing a fraction to a decimal, the division continues for many decimal places and we will <span class=\"no-emphasis\" data-type=\"term\">round<\/span> off the quotient. The number of decimal places we round to will depend on the situation. If the decimal involves money, we round to the hundredths place. For most other cases in this book we will round the number to the nearest thousandth, so the percent will be rounded to the nearest tenth.<\/p>\n<div class=\"textbox textbox--examples\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">EXAMPLE 10<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1447708\" data-type=\"problem\">\n<p id=\"fs-id1166491411260\">Convert <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-ca0b99a2ec22006d674eb42e47fe6367_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#102;&#114;&#97;&#99;&#123;&#53;&#125;&#123;&#55;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"7\" style=\"vertical-align: -6px;\" \/> to a percent.<\/p>\n<\/div>\n<div id=\"fs-id1477736\" data-type=\"solution\">\n<div data-type=\"title\"><\/div>\n<div data-type=\"title\"><strong>Solution<\/strong><\/div>\n<div data-type=\"title\"><\/div>\n<p id=\"fs-id858098\">To change a fraction to a decimal, we divide the numerator by the denominator.<\/p>\n<table id=\"eip-id1168469429567\" style=\"width: 100%;\" summary=\".\" data-label=\"\">\n<tbody>\n<tr>\n<td style=\"width: 70.5682%;\"><\/td>\n<td style=\"width: 29.3182%;\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-ca0b99a2ec22006d674eb42e47fe6367_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#102;&#114;&#97;&#99;&#123;&#53;&#125;&#123;&#55;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"7\" style=\"vertical-align: -6px;\" \/><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 70.5682%;\">Change to a decimal\u2014rounding to the nearest thousandth.<\/td>\n<td style=\"width: 29.3182%;\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-ba8dd0b43ec40216d170022fbcccca6e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#48;&#46;&#55;&#49;&#52;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"41\" style=\"vertical-align: -1px;\" \/><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 70.5682%;\">Write as a percent.<\/td>\n<td style=\"width: 29.3182%;\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-4b190731072227752f89a06a317ec1f3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#55;&#49;&#46;&#52;&#92;&#37;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"46\" style=\"vertical-align: -1px;\" \/><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<\/div>\n<div id=\"fs-id1166487867758\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1166498436125\" data-type=\"exercise\">\n<div id=\"fs-id1279945\" data-type=\"problem\">\n<div class=\"textbox textbox--exercises\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 10<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1166487867758\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1166498436125\" data-type=\"exercise\">\n<div id=\"fs-id1279945\" data-type=\"problem\">\n<p id=\"fs-id1242027\">Convert the fraction to a percent: <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-51aad3006f18a36e475f5f44c96f5a58_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#102;&#114;&#97;&#99;&#123;&#51;&#125;&#123;&#55;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"7\" style=\"vertical-align: -6px;\" \/><\/p>\n<\/div>\n<div id=\"fs-id1166490838581\" data-type=\"solution\">\n<details open=\"open\">\n<summary>Show answer<\/summary>\n<p id=\"fs-id1251196\">42.9%<\/p>\n<\/details>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<p id=\"fs-id1558574\">When we first looked at fractions and decimals, we saw that fractions converted to a <span class=\"no-emphasis\" data-type=\"term\">repeating decimal<\/span>. When we converted the fraction <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-0d50443e9b625e846a8f38e891bba33d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#102;&#114;&#97;&#99;&#123;&#52;&#125;&#123;&#51;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"7\" style=\"vertical-align: -6px;\" \/> to a decimal, we wrote the answer as <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-891581de32a7cad25b2d2052435370e5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#49;&#46;&#92;&#111;&#118;&#101;&#114;&#108;&#105;&#110;&#101;&#123;&#51;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"22\" style=\"vertical-align: 0px;\" \/>. We will use this same notation, as well as fraction notation, when we convert fractions to percents in the next example.<\/p>\n<div class=\"textbox textbox--examples\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">EXAMPLE 11<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1517196\" data-type=\"exercise\">\n<div id=\"fs-id1479355\" data-type=\"problem\">\n<p id=\"fs-id1497167\">Statistics Canada reported in 2018 that approximately <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-34f0e870957984f6c69249b8cf4f5813_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#102;&#114;&#97;&#99;&#123;&#49;&#125;&#123;&#51;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"7\" style=\"vertical-align: -6px;\" \/> of Canadian adults are obese. Convert the fraction <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-34f0e870957984f6c69249b8cf4f5813_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#102;&#114;&#97;&#99;&#123;&#49;&#125;&#123;&#51;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"7\" style=\"vertical-align: -6px;\" \/> to a percent.<\/p>\n<\/div>\n<div id=\"fs-id1506863\" data-type=\"solution\">\n<div data-type=\"title\"><\/div>\n<div data-type=\"title\"><strong>Solution<\/strong><\/div>\n<table id=\"eip-id1168467200205\" style=\"width: 100%;\" summary=\"The figures shows the steps to convert the fraction, one-third, to a percent. It shows how one-third is changed to a decimal using long division. The result is written as the repeating decimal 0.33.The repeating decimal is written as the percent, 33 and one-third percent. It shows that the percent can be written using the repeating decimal symbol.\" data-label=\"\">\n<tbody>\n<tr>\n<td><\/td>\n<td><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-34f0e870957984f6c69249b8cf4f5813_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#102;&#114;&#97;&#99;&#123;&#49;&#125;&#123;&#51;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"7\" style=\"vertical-align: -6px;\" \/><\/td>\n<\/tr>\n<tr>\n<td>Change to a decimal.<\/td>\n<td><span id=\"eip-id1168468566798\" data-type=\"media\" data-alt=\".\"><img decoding=\"async\" src=\"https:\/\/opentextbc.ca\/oerdiscipline\/wp-content\/uploads\/sites\/361\/2021\/06\/CNX_BMath_Figure_06_01_007_img-01.png\" alt=\".\" data-media-type=\"image\/jpeg\" \/><\/span><\/td>\n<\/tr>\n<tr>\n<td>Write as a repeating decimal.<\/td>\n<td><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-386676255da5297f5952d0b4ecade8e8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#48;&#46;&#51;&#51;&#51;&#92;&#100;&#111;&#116;&#115;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"63\" style=\"vertical-align: 0px;\" \/><\/td>\n<\/tr>\n<tr>\n<td>Write as a percent.<\/td>\n<td><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-05e690e9928dd58436babde7c5b55044_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#51;&#51;&#92;&#102;&#114;&#97;&#99;&#123;&#49;&#125;&#123;&#51;&#125;&#92;&#37;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"42\" style=\"vertical-align: -6px;\" \/><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<p id=\"eip-600\">We could also write the percent as <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-649c2da317f8e15f3386a4ea45a72e2d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#51;&#51;&#46;&#92;&#115;&#116;&#97;&#99;&#107;&#114;&#101;&#108;&#123;&#45;&#125;&#123;&#51;&#125;&#92;&#37;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"57\" style=\"vertical-align: -1px;\" \/>.<\/p>\n<\/div>\n<\/div>\n<div id=\"fs-id1166482443258\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1166498115839\" data-type=\"exercise\">\n<div id=\"fs-id1166484085850\" data-type=\"problem\">\n<div class=\"textbox textbox--exercises\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 11<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1166482443258\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1166498115839\" data-type=\"exercise\">\n<div id=\"fs-id1166484085850\" data-type=\"problem\">\n<p id=\"fs-id1456462\">Convert the fraction to a percent:<\/p>\n<p id=\"fs-id1746444\">According to the Canadian Census 2016, about <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-2e49b82488dda98588e3ad40404b62c3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#102;&#114;&#97;&#99;&#123;&#51;&#51;&#125;&#123;&#53;&#48;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"14\" style=\"vertical-align: -6px;\" \/> people within the population of Canada are between the ages of <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-b59223d2c162a0fdd163af8597f0845e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#49;&#53;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"16\" style=\"vertical-align: -1px;\" \/> and <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-de25eb06760758d2c59eb63fca270413_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#54;&#52;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"18\" style=\"vertical-align: -1px;\" \/>.<\/p>\n<\/div>\n<div id=\"fs-id1797000\" data-type=\"solution\">\n<details open=\"open\">\n<summary>Show answer<\/summary>\n<p id=\"fs-id1538560\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-0cc2f5ee47484fd6ea662234041102ac_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#54;&#54;&#46;&#92;&#115;&#116;&#97;&#99;&#107;&#114;&#101;&#108;&#123;&#45;&#125;&#123;&#54;&#125;&#92;&#116;&#101;&#120;&#116;&#123;&#92;&#37;&#44;&#125;&#92;&#112;&#104;&#97;&#110;&#116;&#111;&#109;&#123;&#92;&#114;&#117;&#108;&#101;&#123;&#48;&#46;&#50;&#101;&#109;&#125;&#123;&#48;&#101;&#120;&#125;&#125;&#92;&#116;&#101;&#120;&#116;&#123;&#111;&#114;&#125;&#92;&#112;&#104;&#97;&#110;&#116;&#111;&#109;&#123;&#92;&#114;&#117;&#108;&#101;&#123;&#48;&#46;&#50;&#101;&#109;&#125;&#123;&#48;&#101;&#120;&#125;&#125;&#49;&#49;&#92;&#102;&#114;&#97;&#99;&#123;&#54;&#125;&#123;&#50;&#53;&#125;&#92;&#37;\" title=\"Rendered by QuickLaTeX.com\" height=\"24\" width=\"135\" style=\"vertical-align: -6px;\" \/><\/p>\n<\/details>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--key-takeaways\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">Access to Additional Online Resources<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<ul id=\"fs-id2903898\" data-display=\"block\">\n<li><a href=\"http:\/\/www.openstax.org\/l\/24ratios\">Ratios<\/a><\/li>\n<li><a href=\"http:\/\/www.openstax.org\/l\/24ratiosimpfrac\">Write Ratios as a Simplified Fractions Involving Decimals and Fractions<\/a><\/li>\n<li><a href=\"http:\/\/www.openstax.org\/l\/24ratiosimp\">Write a Ratio as a Simplified Fraction<\/a><\/li>\n<li><a href=\"http:\/\/www.openstax.org\/l\/24rates\">Rates and Unit Rates<\/a><\/li>\n<li><a href=\"http:\/\/www.openstax.org\/l\/24unitrate\">Unit Rate for Cell Phone Plan<\/a><\/li>\n<\/ul>\n<\/div>\n<\/div>\n<h1>Glossary<\/h1>\n<div class=\"textbox shaded\">\n<dl id=\"fs-id4357876\">\n<dt>ratio<\/dt>\n<dd id=\"fs-id4357881\">A ratio compares two numbers or two quantities that are measured with the same unit. The ratio of <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-5c53d6ebabdbcfa4e107550ea60b1b19_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#97;\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"9\" style=\"vertical-align: 0px;\" \/> to <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-f56d50c26583f9a035ff6b4e3c0ca5c0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#98;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"8\" style=\"vertical-align: 0px;\" \/> is written <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-5c53d6ebabdbcfa4e107550ea60b1b19_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#97;\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"9\" style=\"vertical-align: 0px;\" \/> to <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-f56d50c26583f9a035ff6b4e3c0ca5c0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#98;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"8\" style=\"vertical-align: 0px;\" \/>, <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-8459b97fa73367952be2ca8cf9d1326d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#102;&#114;&#97;&#99;&#123;&#97;&#125;&#123;&#98;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"8\" style=\"vertical-align: -6px;\" \/>, or <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-3d8f36b8ff34a01d20808286cf62bee3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#97;&#58;&#98;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"32\" style=\"vertical-align: 0px;\" \/>.<\/dd>\n<\/dl>\n<dl id=\"fs-id4357886\">\n<dt>rate<\/dt>\n<dd id=\"fs-id4357891\">A rate compares two quantities of different units. A rate is usually written as a fraction.<\/dd>\n<\/dl>\n<dl id=\"fs-id4357905\">\n<dt>unit rate<\/dt>\n<dd id=\"fs-id4357910\">A unit rate is a rate with denominator of 1 unit.<\/dd>\n<dd>\n<dl id=\"fs-id1166492881924\">\n<dt>percent<\/dt>\n<dd id=\"fs-id1166493722983\">A percent is a ratio whose denominator is <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-2c4b0a8a79b7bd0e6e72a5fca0be9982_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#49;&#48;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"26\" style=\"vertical-align: -1px;\" \/>.<\/dd>\n<\/dl>\n<\/dd>\n<\/dl>\n<\/div>\n<div id=\"fs-id1166479044214\" class=\"be-prepared\" data-type=\"note\">\n<h1>Key Concepts<\/h1>\n<ul id=\"fs-id1166490863146\" data-bullet-style=\"bullet\">\n<li><strong>Convert a percent to a fraction.<\/strong>\n<ol id=\"eip-id4162904\" class=\"stepwise\" type=\"1\">\n<li>Write the percent as a ratio with the denominator 100.<\/li>\n<li>Simplify the fraction if possible.<\/li>\n<\/ol>\n<\/li>\n<li><strong>Convert a percent to a decimal.<\/strong>\n<ol id=\"eip-id1186778\" class=\"stepwise\" type=\"1\">\n<li>Write the percent as a ratio with the denominator 100.<\/li>\n<li>Convert the fraction to a decimal by dividing the numerator by the denominator.<\/li>\n<\/ol>\n<\/li>\n<li><strong>Convert a decimal to a percent.<\/strong>\n<ol id=\"eip-id1186793\" class=\"stepwise\" type=\"1\">\n<li>Write the decimal as a fraction.<\/li>\n<li>If the denominator of the fraction is not 100, rewrite it as an equivalent fraction with denominator 100.<\/li>\n<li>Write this ratio as a percent.<\/li>\n<\/ol>\n<\/li>\n<li><strong>Convert a fraction to a percent.<\/strong>\n<ol id=\"eip-id1186813\" class=\"stepwise\" type=\"1\">\n<li>Convert the fraction to a decimal.<\/li>\n<li>Convert the decimal to a percent.<\/li>\n<\/ol>\n<\/li>\n<\/ul>\n<\/div>\n<h1 id=\"fs-id4211215\">6.2 Exercise Set<\/h1>\n<p id=\"eip-189\">In the following exercises, write each ratio as a fraction.<\/p>\n<ol class=\"twocolumn\">\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-930d01a5f622cee5952bab4752e56063_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#50;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"18\" style=\"vertical-align: 0px;\" \/> to <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-dce5a8d8a80b6aa9c2a9f6810851e582_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#51;&#54;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"18\" style=\"vertical-align: 0px;\" \/><\/li>\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-663d228316bfd115aace82901fc82ec6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#52;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"17\" style=\"vertical-align: -1px;\" \/> to <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-1f11c6e846ac2fe8cea2c6e472ea6458_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#52;&#56;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"18\" style=\"vertical-align: -1px;\" \/><\/li>\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-1c99f2a2d6b0972a936697151a4970a0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#52;&#57;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"18\" style=\"vertical-align: -1px;\" \/> to <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-1b44aa122f73c22d86f2d764af01f919_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#50;&#49;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"17\" style=\"vertical-align: -1px;\" \/><\/li>\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-2044c4aefe2adfc3b277146852400fd1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#56;&#52;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"18\" style=\"vertical-align: -1px;\" \/> to <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-dce5a8d8a80b6aa9c2a9f6810851e582_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#51;&#54;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"18\" style=\"vertical-align: 0px;\" \/><\/li>\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-e63e4b78b2cb309a4625e2bcd2556944_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#48;&#46;&#53;&#54;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"32\" style=\"vertical-align: 0px;\" \/> to <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-ec778b275453b1720f4962450010c189_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#50;&#46;&#56;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"23\" style=\"vertical-align: 0px;\" \/><\/li>\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-80588c2af70b499bde2614a130c98b76_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#50;&#56;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"18\" style=\"vertical-align: 0px;\" \/> ounces to <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-2044c4aefe2adfc3b277146852400fd1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#56;&#52;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"18\" style=\"vertical-align: -1px;\" \/> ounces<\/li>\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-40f7428479801bf4ef27a5149e9df526_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#49;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"16\" style=\"vertical-align: -1px;\" \/> feet to <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-9d1b2be35527597b3ccb8db32048b384_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#52;&#54;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"18\" style=\"vertical-align: -1px;\" \/> feet<\/li>\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-ba702e7a26c6e1a6267d00a54430a20e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#50;&#52;&#54;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"27\" style=\"vertical-align: -1px;\" \/> milligrams to <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-1a494309aca1bdc45eb593f8e8497226_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#52;&#53;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"17\" style=\"vertical-align: -1px;\" \/> milligrams<\/li>\n<li>total cholesterol of <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-855fd7154024e59965cf2d02c401d62d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#49;&#55;&#53;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"25\" style=\"vertical-align: -1px;\" \/> to HDL cholesterol of <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-1a494309aca1bdc45eb593f8e8497226_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#52;&#53;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"17\" style=\"vertical-align: -1px;\" \/><\/li>\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-a7b50e6fd02515483149eb902ea18dfd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#50;&#55;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"18\" style=\"vertical-align: 0px;\" \/> inches to <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-4868771cbc422b5818f85500909ce433_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#49;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"7\" style=\"vertical-align: -1px;\" \/> foot<\/li>\n<\/ol>\n<p id=\"eip-328\">In the following exercises, find the unit rate. Round to two decimal places, if necessary.<\/p>\n<ol start=\"11\">\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-234152ae1b4cdc9a3ed0c84de7768396_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#49;&#52;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"26\" style=\"vertical-align: -1px;\" \/> calories per <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-40f7428479801bf4ef27a5149e9df526_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#49;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"16\" style=\"vertical-align: -1px;\" \/> ounces<\/li>\n<li>total cholesterol is <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-7da70e53dbd1768fafd97a170590c640_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#50;&#48;&#52;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"27\" style=\"vertical-align: -1px;\" \/> mg\/dL and HDL cholesterol is <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-4d761d015714dab15099f98dec9a6f60_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#51;&#56;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"18\" style=\"vertical-align: 0px;\" \/> mg\/dL<\/li>\n<li>584 beats in 8 minutes<\/li>\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-ec0b6e7f7e46f16db27054b3329cf224_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#52;&#51;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"18\" style=\"vertical-align: -1px;\" \/> pounds in <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-8dde8d4cade60a4f3ca0e779512b974c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#49;&#54;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"17\" style=\"vertical-align: -1px;\" \/> weeks<\/li>\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-9d1b2be35527597b3ccb8db32048b384_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#52;&#54;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"18\" style=\"vertical-align: -1px;\" \/> beats in <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-b7ab7f7da74090c2370accce55f96e3b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#48;&#46;&#53;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"22\" style=\"vertical-align: 0px;\" \/> minute<\/li>\n<\/ol>\n<ol start=\"16\">\n<li>A popular fast food burger weighs <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-0f1744ffd0a5d1d7e31cd59aefe01c6f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#55;&#46;&#53;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"22\" style=\"vertical-align: 0px;\" \/> ounces and contains <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-5bbd11c21da436a0818d15236d7dc833_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#53;&#52;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"27\" style=\"vertical-align: -1px;\" \/> calories, <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-da60de369e4a2bdb1a6166bdb4b6f1c0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#50;&#57;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"18\" style=\"vertical-align: 0px;\" \/> grams of fat, <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-ec0b6e7f7e46f16db27054b3329cf224_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#52;&#51;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"18\" style=\"vertical-align: -1px;\" \/> grams of carbohydrates, and <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-dd40a7f142c1fc4152e724db5432f76b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#50;&#53;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"17\" style=\"vertical-align: 0px;\" \/> grams of protein. Find the unit rate of:\n<ol type=\"a\">\n<li>calories per ounce<\/li>\n<li>grams of fat per ounce<\/li>\n<li>grams of carbohydrates per ounce<\/li>\n<li>grams of protein per ounce. Round to two decimal places.<\/li>\n<\/ol>\n<\/li>\n<\/ol>\n<p id=\"eip-230\">In the following exercises, write each percent as a ratio.<\/p>\n<ol start=\"17\">\n<li>A patient health insurance covers <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-f01c40b1c9b8da1b69b24764898576e9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#54;&#48;&#92;&#37;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"32\" style=\"vertical-align: -1px;\" \/> of the cost of his medication.<\/li>\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-2f3c30b07ea9e3ee7f09745570dcf1b1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#53;&#55;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"18\" style=\"vertical-align: 0px;\" \/> out of <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-2c4b0a8a79b7bd0e6e72a5fca0be9982_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#49;&#48;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"26\" style=\"vertical-align: -1px;\" \/> nursing candidates received their degree at a community college.<\/li>\n<\/ol>\n<p id=\"eip-942\">In the following exercises, convert each percent to a fraction and simplify all fractions.<\/p>\n<ol class=\"twocolumn\" start=\"19\">\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-ee7126f7b1e7d0da916726d146a16404_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#52;&#92;&#37;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"23\" style=\"vertical-align: -1px;\" \/><\/li>\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-e7ec2669bca66b7e6e1c8053268b3116_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#53;&#50;&#92;&#37;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"32\" style=\"vertical-align: -1px;\" \/><\/li>\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-87b6b30dbaf7864c2a5ec25feac717e8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#50;&#53;&#92;&#37;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"40\" style=\"vertical-align: -1px;\" \/><\/li>\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-a9c35b23580d3a442ba3081558a20504_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#51;&#55;&#46;&#53;&#92;&#37;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"46\" style=\"vertical-align: -1px;\" \/><\/li>\n<\/ol>\n<p id=\"fs-id1166498049777\">In the following exercises, convert each percent to a decimal.<\/p>\n<ol class=\"twocolumn\" start=\"23\">\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-4bd2bf3f0970f1c6f8ac2e2e2ee5e59e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#53;&#92;&#37;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"23\" style=\"vertical-align: -1px;\" \/><\/li>\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-7c6b287e58e4f980ac1bce81f0b92fb9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#54;&#51;&#92;&#37;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"32\" style=\"vertical-align: -1px;\" \/><\/li>\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-5461fe6d74ed56b235d331d9b5d6358d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#53;&#48;&#92;&#37;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"40\" style=\"vertical-align: -1px;\" \/><\/li>\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-3ed046cd6b83c33de0a72b26d7f97b23_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#50;&#49;&#46;&#52;&#92;&#37;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"46\" style=\"vertical-align: -1px;\" \/><\/li>\n<li>COVID-19 vaccines, the Pfizer and Moderna have the hightest efficiency at around <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-1a33cc66a74744a08a011f498599ab0b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#57;&#53;&#92;&#37;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"32\" style=\"vertical-align: -1px;\" \/><\/li>\n<li>A couple plans to have two children. The probability they will have two girls is <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-999170fba948bd6fdce99990751ba6b1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#50;&#53;&#92;&#37;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"32\" style=\"vertical-align: -1px;\" \/>.<\/li>\n<\/ol>\n<p id=\"eip-583\">In the following exercises, convert each decimal to a percent.<\/p>\n<ol class=\"twocolumn\" start=\"29\">\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-a237bbb64dbd4186a7af19f140e02995_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#48;&#46;&#49;&#56;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"32\" style=\"vertical-align: -1px;\" \/><\/li>\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-c5f706eea2cb730afe7ef2293e0b897d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#49;&#46;&#51;&#53;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"30\" style=\"vertical-align: -1px;\" \/><\/li>\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-4a1d3ea4963f568cabd97329456036b6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#51;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: 0px;\" \/><\/li>\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-c7285ee252a387764c4ea4ae48e56daf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#48;&#46;&#48;&#48;&#57;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"41\" style=\"vertical-align: 0px;\" \/><\/li>\n<\/ol>\n<p id=\"fs-id1337813\">In the following exercises, convert each fraction to a percent.<\/p>\n<ol class=\"twocolumn\" start=\"33\">\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-a50f9f96c608e65c404d41e0ef6f8a47_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#102;&#114;&#97;&#99;&#123;&#51;&#125;&#123;&#56;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"7\" style=\"vertical-align: -6px;\" \/><\/li>\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-1f79a7a6919bd066b2f24c2625ed36dd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#102;&#114;&#97;&#99;&#123;&#53;&#125;&#123;&#49;&#50;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"23\" width=\"14\" style=\"vertical-align: -7px;\" \/><\/li>\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-51aad3006f18a36e475f5f44c96f5a58_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#102;&#114;&#97;&#99;&#123;&#51;&#125;&#123;&#55;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"7\" style=\"vertical-align: -6px;\" \/><\/li>\n<li>According to the Government of Canada, in <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-4f6243ed637f10c8d8d461587de16c43_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#50;&#48;&#49;&#55;&#44;&#92;&#102;&#114;&#97;&#99;&#123;&#49;&#54;&#125;&#123;&#50;&#53;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"59\" style=\"vertical-align: -6px;\" \/> of Canadian adults were overweight or obese.<\/li>\n<\/ol>\n<h1>Answers<\/h1>\n<ol class=\"twocolumn\">\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-0f4ccf3e077500e691259205b8b0b08e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#102;&#114;&#97;&#99;&#123;&#53;&#125;&#123;&#57;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"7\" style=\"vertical-align: -6px;\" \/><\/li>\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-27a06edc5fe1932bd0c3274d9af93920_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#102;&#114;&#97;&#99;&#123;&#55;&#125;&#123;&#56;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"7\" style=\"vertical-align: -6px;\" \/><\/li>\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-2330587fe43276ff3e47ca1fc1bf0a57_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#102;&#114;&#97;&#99;&#123;&#55;&#125;&#123;&#51;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"7\" style=\"vertical-align: -6px;\" \/><\/li>\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-2330587fe43276ff3e47ca1fc1bf0a57_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#102;&#114;&#97;&#99;&#123;&#55;&#125;&#123;&#51;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"7\" style=\"vertical-align: -6px;\" \/><\/li>\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-e174a73678f6bd6f70d7aaec8f911349_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#102;&#114;&#97;&#99;&#123;&#49;&#125;&#123;&#53;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"7\" style=\"vertical-align: -6px;\" \/><\/li>\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-34f0e870957984f6c69249b8cf4f5813_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#102;&#114;&#97;&#99;&#123;&#49;&#125;&#123;&#51;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"7\" style=\"vertical-align: -6px;\" \/><\/li>\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-1023646758ac8d5d8339af74d4c83e5e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#102;&#114;&#97;&#99;&#123;&#54;&#125;&#123;&#50;&#51;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"14\" style=\"vertical-align: -6px;\" \/><\/li>\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-9965153414fc197865de78ee91f37dc1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#102;&#114;&#97;&#99;&#123;&#56;&#50;&#125;&#123;&#49;&#53;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"23\" width=\"14\" style=\"vertical-align: -7px;\" \/><\/li>\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-986720012d3fe65b746bef49f90a2992_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#102;&#114;&#97;&#99;&#123;&#51;&#53;&#125;&#123;&#57;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"14\" style=\"vertical-align: -6px;\" \/><\/li>\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-7f0c69f48cefc6c9a19a640e5157771c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#102;&#114;&#97;&#99;&#123;&#57;&#125;&#123;&#52;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"7\" style=\"vertical-align: -6px;\" \/><\/li>\n<li>11.67 calories\/ounce<\/li>\n<li>2.73 lbs.\/sq. in.<\/li>\n<li>73 beats\/minute<\/li>\n<li>2.69 lbs.\/week<\/li>\n<li>92 beats\/minute\n<ol type=\"a\">\n<li style=\"list-style-type: none;\">\n<ol type=\"a\">\n<li>72 calories\/ounce<\/li>\n<li>3.87 grams of fat\/ounce<\/li>\n<li>5.73 grams carbs\/once<\/li>\n<li>3.33 grams protein\/ounce<\/li>\n<\/ol>\n<\/li>\n<\/ol>\n<\/li>\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-d949817bbeabc7f79774b71eec6d9db7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#102;&#114;&#97;&#99;&#123;&#54;&#48;&#125;&#123;&#49;&#48;&#48;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"21\" style=\"vertical-align: -6px;\" \/><\/li>\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-12ba5b697e8a695e3e2d813895fa564e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#102;&#114;&#97;&#99;&#123;&#53;&#55;&#125;&#123;&#49;&#48;&#48;&#48;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"28\" style=\"vertical-align: -6px;\" \/><\/li>\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-987c8c247ee1bfbcaa09ef7b7ce42fbb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#102;&#114;&#97;&#99;&#123;&#49;&#125;&#123;&#50;&#53;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"14\" style=\"vertical-align: -6px;\" \/><\/li>\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-0ca4e2ec921f920b0006a9746c72ead6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#102;&#114;&#97;&#99;&#123;&#49;&#51;&#125;&#123;&#50;&#53;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"14\" style=\"vertical-align: -6px;\" \/><\/li>\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-27f26f48f049d16d7bf76d51e1f91cef_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#102;&#114;&#97;&#99;&#123;&#53;&#125;&#123;&#52;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"7\" style=\"vertical-align: -6px;\" \/><\/li>\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-content\/ql-cache\/quicklatex.com-a50f9f96c608e65c404d41e0ef6f8a47_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#102;&#114;&#97;&#99;&#123;&#51;&#125;&#123;&#56;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"7\" style=\"vertical-align: -6px;\" \/><\/li>\n<li>0.05<\/li>\n<li>0.63<\/li>\n<li>1.5<\/li>\n<li>0.214<\/li>\n<li>0.95<\/li>\n<li>0.25<\/li>\n<li>18%<\/li>\n<li>135%<\/li>\n<li>300%<\/li>\n<li>0.9%<\/li>\n<li>37.5%<\/li>\n<li>41.7%<\/li>\n<li>42.9%<\/li>\n<\/ol>\n<h1>Attributions<\/h1>\n<ol>\n<li>This chapter has been adapted from \u201cUnderstand Percent\u201d in <a href=\"https:\/\/openstax.org\/details\/books\/prealgebra-2e\"><em>Prealgebra<\/em><\/a> (OpenStax) by Lynn Marecek, MaryAnne Anthony-Smith, and Andrea Honeycutt Mathis, which is under a <a href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY 4.0 Licence<\/a>. Adapted by Izabela Mazur. See the Copyright page for more information.<\/li>\n<li><a href=\"https:\/\/pressbooks.oer.hawaii.edu\/humannutrition2\/chapter\/2-the-cardiovascular-system\/\">OER.hawaii.edu<\/a><\/li>\n<li>Wikipedia<\/li>\n<li>\u00a0Government of Canada Statistics<\/li>\n<\/ol>\n","protected":false},"author":125,"menu_order":2,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-1616","chapter","type-chapter","status-publish","hentry"],"part":1441,"_links":{"self":[{"href":"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-json\/pressbooks\/v2\/chapters\/1616","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-json\/wp\/v2\/users\/125"}],"version-history":[{"count":1,"href":"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-json\/pressbooks\/v2\/chapters\/1616\/revisions"}],"predecessor-version":[{"id":1617,"href":"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-json\/pressbooks\/v2\/chapters\/1616\/revisions\/1617"}],"part":[{"href":"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-json\/pressbooks\/v2\/parts\/1441"}],"metadata":[{"href":"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-json\/pressbooks\/v2\/chapters\/1616\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-json\/wp\/v2\/media?parent=1616"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-json\/pressbooks\/v2\/chapter-type?post=1616"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-json\/wp\/v2\/contributor?post=1616"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/opentextbc.ca\/businesstechnicalmath\/wp-json\/wp\/v2\/license?post=1616"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}