Unit 4: Adding & Subtracting Common Fractions
Unit 4 Review
- Add these common fractions, make sure to reduce your answer to the lowest terms.
- [latex]\dfrac{1}{3} + \dfrac{1}{3} =[/latex]
- [latex]\dfrac{3}{7} + \dfrac{2}{7} =[/latex]
- [latex]\dfrac{4}{5} + \dfrac{1}{5} =[/latex]
- [latex]\dfrac{3}{8} + \dfrac{1}{8} =[/latex]
- [latex]\dfrac{4}{8} + \dfrac{2}{8} =[/latex]
- [latex]\dfrac{1}{12} + \dfrac{3}{12} =[/latex]
- [latex]\dfrac{3}{7} + \dfrac{5}{7} =[/latex]
- [latex]\dfrac{7}{21} + \dfrac{7}{21} =[/latex]
- Add these common fractions, make sure to reduce your answer to lowest terms.
- [latex]\dfrac{1}{3} + \dfrac{3}{6} =[/latex]
- [latex]\dfrac{1}{2} + \dfrac{2}{5} =[/latex]
- [latex]\dfrac{1}{4} + \dfrac{1}{3} =[/latex]
- [latex]\dfrac{3}{5} + \dfrac{3}{4} =[/latex]
- [latex]\dfrac{3}{7} + \dfrac{6}{8} =[/latex]
- [latex]\dfrac{1}{2} + \dfrac{13}{16} =[/latex]
- [latex]\dfrac{1}{8} + \dfrac{1}{3} =[/latex]
- [latex]\dfrac{3}{4} + \dfrac{8}{9} =[/latex]
- Add. Express the sum in lowest terms.
- [latex]6\dfrac{3}{5} + 2\dfrac{3}{7} =[/latex]
- [latex]3\dfrac{1}{4} + 4\dfrac{1}{2} =[/latex]
- [latex]3\dfrac{3}{8} + 4\dfrac{1}{4} =[/latex]
- [latex]8\dfrac{1}{5} + 1\dfrac{2}{7} =[/latex]
-
[latex]1\dfrac{14}{15} + 3\dfrac{1}{3} =[/latex]
- [latex]4\dfrac{2}{3} + 1\dfrac{1}{4} =[/latex]
- [latex]12\dfrac{1}{2} + 1\dfrac{1}{3} =[/latex]
- [latex]9\dfrac{2}{5} + 1\dfrac{7}{10} =[/latex]
- [latex]9\dfrac{4}{5} + 3\dfrac{1}{7} =[/latex]
- [latex]2\dfrac{1}{5} + 7\dfrac{4}{15} =[/latex]
- Subtract. Express your answers in lowest terms.
- [latex]\begin{array}{rr}&\dfrac{2}{5}\\-&\dfrac{1}{5}\\\hline\end{array}[/latex]
-
[latex]\begin{array}{rr}&\dfrac{5}{8}\\-&\dfrac{1}{8}\\\hline\end{array}[/latex]
- [latex]\begin{array}{rr}&\dfrac{2}{3}\\-&\dfrac{1}{3}\\\hline\end{array}[/latex]
- [latex]\begin{array}{rr}&\dfrac{5}{12}\\-&\dfrac{3}{12}\\\hline\end{array}[/latex]
- Subtract and express your answer in lowest terms
- [latex]\begin{array}{rr}&\dfrac{17}{22}\\-&\dfrac{6}{22}\\\hline\end{array}[/latex]
- [latex]\begin{array}{rr}&\dfrac{3}{4}\\-&\dfrac{1}{2}\\\hline\end{array}[/latex]
- [latex]\begin{array}{rr}&\dfrac{3}{4}\\-&\dfrac{1}{12}\\\hline\end{array}[/latex]
- [latex]\begin{array}{rr}&\dfrac{9}{10}\\-&\dfrac{4}{5}\\\hline\end{array}[/latex]
- [latex]\begin{array}{rr}&\dfrac{1}{2}\\-&\dfrac{3}{8}\\\hline\end{array}[/latex]
- [latex]\begin{array}{rr}&\dfrac{15}{16}\\-&\dfrac{3}{8}\\\hline\end{array}[/latex]
- [latex]\begin{array}{rr}&\dfrac{9}{16}\\-&\dfrac{1}{8}\\\hline\end{array}[/latex]
- [latex]\begin{array}{rr}&\dfrac{1}{6}\\-&\dfrac{1}{12}\\\hline\end{array}[/latex]
- Subtract. Be sure to reduce your answers to lowest terms.
- [latex]\begin{array}{rr}&20\dfrac{2}{4}\\-&10\dfrac{3}{4}\\\hline\end{array}[/latex]
- [latex]\begin{array}{rr}&1\dfrac{2}{3}\\-&\dfrac{5}{6}\\\hline\end{array}[/latex]
- [latex]\begin{array}{rr}&4\\-&\dfrac{1}{5}\\\hline\end{array}[/latex]
- [latex]\begin{array}{rr}&4\dfrac{1}{5}\\-&1\dfrac{2}{5}\\\hline\end{array}[/latex]
- [latex]\begin{array}{rr}&5\dfrac{1}{3}\\-&\dfrac{2}{3}\\\hline\end{array}[/latex]
- [latex]\begin{array}{rr}&9\dfrac{3}{5}\\-&4\dfrac{4}{5}\\\hline\end{array}[/latex]
- Subtract the following fractions. Express your answer in lowest terms.
- [latex]\begin{array}{rr}&15\dfrac{1}{6}\\-&3\dfrac{2}{5}\\\hline\end{array}[/latex]
- [latex]\begin{array}{rr}&7\\-&4\dfrac{1}{3}\\\hline\end{array}[/latex]
- [latex]\begin{array}{rr}&9\dfrac{1}{4}\\-&7\dfrac{5}{8}\\\hline\end{array}[/latex]
- [latex]\begin{array}{rr}&13\dfrac{1}{4}\\-&3\dfrac{4}{9}\\\hline\end{array}[/latex]
- [latex]\begin{array}{rr}&13\\-&1\dfrac{1}{5}\\\hline\end{array}[/latex]
- [latex]\begin{array}{rr}&7\dfrac{1}{3}\\-&4\dfrac{5}{6}\\\hline\end{array}[/latex]
- [latex]\begin{array}{rr}&18\dfrac{1}{6}\\-&14\dfrac{2}{9}\\\hline\end{array}[/latex]
- [latex]\begin{array}{rr}&4\dfrac{3}{5}\\-&3\dfrac{3}{4}\\\hline\end{array}[/latex]
- [latex]\begin{array}{rr}&22\\-&1\dfrac{7}{12}\\\hline\end{array}[/latex]
- [latex]\begin{array}{rr}&19\dfrac{1}{8}\\-&14\dfrac{1}{3}\\\hline\end{array}[/latex]
- Solve the following problems.
-
- Cheryl walks for [latex]\tfrac{1}{2}[/latex] of an hour on Tuesdays and Thursdays, and [latex]\tfrac{2}{3}[/latex] of an hour on Mondays and Wednesdays. On Fridays, Saturdays and Sundays, she walks for [latex]1\tfrac{1}{4}[/latex] hours each day. How much time does she walk each week?
- The car trip took [latex]2\tfrac{2}{3}[/latex] hours for 300km. What was the average speed (in km per hour)?
- The kids spent each day of their summer vacation in the lake! They would play in the water for [latex]\tfrac{3}{4}[/latex] of an hour in the morning, [latex]\tfrac{2}{3}[/latex] of an hour after lunch, and then [latex]1\tfrac{1}{2}[/latex] hours before dinner. How many hours did they spend in the water during their 14 day vacation?
- A freight truck has [latex]26\tfrac{1}{4}[/latex] kg of paper, [latex]4\tfrac{3}{6}[/latex] kg of pencils, [latex]37\tfrac{1}{3}[/latex] kg of file folders. How much weight was it carrying?
- A flight from Fort Nelson to Vancouver takes [latex]2\tfrac{5}{6}[/latex] of an hour. If the plane has been flying for [latex]1\tfrac{1}{4}[/latex] of an hour, how much longer will the flight be?
- According to Statistics Canada, Terrace’s annual rain fall is [latex]970\tfrac{6}{25}[/latex] mm, and Smithers’ annual rainfall is [latex]513\tfrac{1}{4}[/latex] mm, how much more rain does Terrace get than Smithers each year?
- A park is 121/2 km wide and 251/3 km long. What is the area of the park?
-
Answers to Unit 4 Review
-
- [latex]\dfrac{2}{3}[/latex]
- [latex]\dfrac{5}{7}[/latex]
- 1
- [latex]\dfrac{1}{2}[/latex]
- [latex]\dfrac{3}{4}[/latex]
- [latex]\dfrac{1}{3}[/latex]
- [latex]1\dfrac{1}{7}[/latex]
- [latex]\dfrac{2}{3}[/latex]
-
- [latex]\dfrac{5}{6}[/latex]
- [latex]\dfrac{9}{10}[/latex]
- [latex]\dfrac{7}{12}[/latex]
- [latex]1\dfrac{7}{20}[/latex]
- [latex]1\dfrac{5}{28}[/latex]
- [latex]1\dfrac{5}{16}[/latex]
- [latex]\dfrac{11}{24}[/latex]
- [latex]\dfrac{59}{72}[/latex]
- [latex]1\dfrac{29}{63}[/latex]
- [latex]\dfrac{47}{60}[/latex]
-
- [latex]9\dfrac{1}{35}[/latex]
- [latex]7\dfrac{3}{4}[/latex]
- [latex]7\dfrac{5}{8}[/latex]
- [latex]9\dfrac{17}{35}[/latex]
- [latex]5\dfrac{4}{15}[/latex]
- [latex]5\dfrac{11}{12}[/latex]
- [latex]13\dfrac{5}{6}[/latex]
- [latex]11\dfrac{1}{10}[/latex]
- [latex]12\dfrac{33}{35}[/latex]
- [latex]9\dfrac{7}{15}[/latex]
-
- [latex]\dfrac{1}{5}[/latex]
- [latex]\dfrac{1}{2}[/latex]
- [latex]\dfrac{1}{3}[/latex]
- [latex]\dfrac{1}{6}[/latex]
-
- [latex]\dfrac{1}{2}[/latex]
- [latex]\dfrac{1}{4}[/latex]
- [latex]\dfrac{2}{3}[/latex]
- [latex]\dfrac{1}{10}[/latex]
- [latex]\dfrac{1}{8}[/latex]
- [latex]5\dfrac{9}{16}[/latex]
- [latex]5\dfrac{7}{16}[/latex]
- [latex]\dfrac{1}{12}[/latex]
-
- [latex]9\dfrac{3}{4}[/latex]
- [latex]\dfrac{5}{6}[/latex]
- [latex]3\dfrac{4}{5}[/latex]
- [latex]2\dfrac{4}{5}[/latex]
- [latex]4\dfrac{2}{3}[/latex]
- [latex]4\dfrac{4}{5}[/latex]
-
- [latex]11\dfrac{23}{30}[/latex]
- [latex]2\dfrac{2}{3}[/latex]
- [latex]1\dfrac{5}{8}[/latex]
- [latex]9\dfrac{29}{36}[/latex]
- [latex]11\dfrac{4}{5}[/latex]
- [latex]2\dfrac{1}{2}[/latex]
- [latex]3\dfrac{17}{18}[/latex]
- [latex]\dfrac{17}{20}[/latex]
- [latex]20\dfrac{5}{12}[/latex]
- [latex]4\dfrac{19}{24}[/latex]
-
- Cheryl walked [latex]6\tfrac{1}{12}[/latex] hours each week.
- The average was [latex]112\tfrac{1}{2}[/latex] km/hour
- [latex]40\tfrac{5}{6}[/latex] hours in the lake
- [latex]68\tfrac{1}{12}[/latex] kg
- [latex]1\tfrac{7}{12}[/latex] hours left on the flight
- Terrace gets [latex]456\tfrac{99}{100}[/latex] cm more rain per year than Smithers.
- [latex]316\tfrac{2}{3}[/latex] km2
It is now test time!
Please get the practice test from your instructor.
Once you are ready, you can get the Unit 4 test from your instructor.
Good luck!