Unit 3: Multiplying & Dividing Fractions

# Unit 3 Review

- Write the multiplication equation you would use to find the fraction of the whole number. You do not have to calculate the answers.
- More than [latex]\tfrac{1}{3}[/latex] of the children at the day care are sick today. There are 15 children in the day care. How many children are sick?
- Rich answered [latex]\tfrac{7}{8}[/latex] of the questions on the test. The test had 48 questions. How many questions did Rich complete?
- Canada Post delivered more than 11.6 billion pieces of mail across Canada in 2008. They have a target of getting [latex]\tfrac{96}{100}[/latex] letters delivered on time. How many letters got delivered on time in 2008?
- We spend [latex]\tfrac{1}{6}[/latex] of our monthly income on food. Our take home pay is $1400. How much do we spend on groceries each month?

- Write the multiplication equation you would use to multiply a fraction by a whole number. You do not have to calculate the answer.
- We want to buy a good bottle of wine for dinner, but there are 4 bottles of wine from last night that are not used up yet. Let’s take each [latex]\tfrac{1}{6}[/latex] bottle of wine that is left over and have that at dinner tonight. How much wine will we have?
- There are four boxes of cereal open in the cupboard and each one is [latex]\tfrac{3}{4}[/latex] full. How many full boxes would there be if they were all put together?
- Double a recipe that needs [latex]\tfrac{1}{3}[/latex] tsp of cinnamon.
- Mark is a frequent coffee drinker at the local coffee shop. He has a punch card, and gets a hole punched out each time he buys a coffee. Once he has a card with 14 holes punched out, he gets a free coffee. He keeps losing his card and getting a new one. He has found them all, and he now has 3 cards, each with [latex]\tfrac{2}{3}[/latex] of the holes punched out. Does he have enough holes punched out to get a free coffee?

- Multiply these fractions:
- [latex]7\times\dfrac{2}{3} =[/latex]
- [latex]3\times\dfrac{2}{5}=[/latex]
- [latex]\dfrac{2}{3}\times14 =[/latex]
- [latex]\dfrac{3}{8}\times4 =[/latex]
- [latex]5\times\dfrac{1}{5}=[/latex]
- [latex]3\times\dfrac{3}{4}=[/latex]
- [latex]\dfrac{3}{2}\times20 =[/latex]
- [latex]\dfrac{3}{8}\times20 =[/latex]

- Multiply these fractions:
- [latex]\dfrac{1}{6}\times\dfrac{1}{4}=[/latex]
- [latex]\dfrac{5}{10}\times\dfrac{1}{3}=[/latex]
- [latex]\dfrac{1}{4}\times\dfrac{1}{7}=[/latex]
- [latex]\dfrac{7}{10}\times\dfrac{2}{3}=[/latex]

- Multiply these fractions. Simplify before multiplying, where possible.
- [latex]\dfrac{2}{5}\times\dfrac{15}{7}[/latex] × [latex]\dfrac{3}{4}[/latex] × [latex]\dfrac{1}{9}=[/latex]
- [latex]\dfrac{8}{9}\times\dfrac{1}{4}=[/latex]
- [latex]\dfrac{3}{5}\times\dfrac{2}{9}\times\dfrac{1}{2}=[/latex]

- Multiply these fractions. Simplify before multiplying, where possible.
- 7 [latex]\dfrac{1}{3}\times\dfrac{3}{7}=[/latex]
- [latex]3\dfrac{1}{4}\times3\dfrac{1}{2}=[/latex]
- [latex]2\dfrac{1}{5}\times\dfrac{5}{6}=[/latex]
- [latex]9\times\dfrac{2}{3} =[/latex]

- Solve the following word problems:
- A recipe calls for [latex]\tfrac{2}{3}[/latex] of a cup of sugar. How much sugar should be used if only [latex]\tfrac{1}{2}[/latex] of the recipe is being made?
- The Wrights sold their house for $240 000. The real estate company that helped them sell their house gets [latex]\tfrac{3}{20}[/latex] of this amount. How much money did the Wrights have to pay the real estate company?
- Find the
**area**of the rectangle. - Each turn of a screw sinks it [latex]\tfrac{1}{2}[/latex] of a centimetre deeper into the wood. Find out how deep the screw is after 7 turns.
- [latex]\tfrac{3}{4}\text{ of }48[/latex] students in the gym are girls. How many girls are in the gym?

- Divide these fractions. Simplify before multiplying, where possible.
- [latex]\dfrac{7}{2}\div\dfrac{3}{4} =[/latex]
- [latex]\dfrac{5}{8}\div\dfrac{7}{24} =[/latex]
- [latex]\dfrac{2}{3}\div\dfrac{7}{9} =[/latex]
- [latex]\dfrac{1}{5}\div\dfrac{1}{4} =[/latex]

- Divide these fractions. Simplify before multiplying, where possible.
- [latex]2\dfrac{4}{5}\div\dfrac{1}{5} =[/latex]
- [latex]\dfrac{2}{5}\div\dfrac{1}{2} =[/latex]
- [latex]\dfrac{1}{4}\div\dfrac{2}{3} =[/latex]
- [latex]2\dfrac{3}{4}\div\dfrac{7}{8} =[/latex]
- [latex]5\dfrac{1}{10}\div3\dfrac{3}{10} =[/latex]

- Solve the following word problems:
- If you want to share [latex]3\tfrac{1}{3}[/latex] cups of juice between 4 children, how much juice does each child get?
- Aaron ran [latex]24\tfrac{3}{4}[/latex] km in 3 days. How many kilometres did he run each day?
- Jordan is selling falafel balls at Smithers Mid-Summer Music Festival this summer. She made [latex]48\tfrac{3}{4}[/latex] kg of falafel mix. How many [latex]\tfrac{1}{16}[/latex] kg falafel balls can she make?
- Sophie had [latex]75\tfrac{1}{4}[/latex] cm piece of wood trim. She wants to cut it into [latex]2\tfrac{1}{2}[/latex] cm pieces. How many pieces can she get?

# Answers to Unit 3 Review

- Find the products.
- [latex]\dfrac{1}{3}\times\dfrac{15}{1}[/latex]
- [latex]\dfrac{7}{8}\times\dfrac{48}{1}[/latex]
- [latex]\dfrac{96}{100}\times\dfrac{11.1\text{ billion}}{1}[/latex]
- [latex]\dfrac{1}{6}\times\dfrac{1400}{1}[/latex]

- Find the products.
- [latex]4\times\dfrac{1}{6}[/latex]
- [latex]4\times\dfrac{3}{4}[/latex]
- [latex]2\times\dfrac{1}{3}[/latex]
- [latex]3\times\dfrac{2}{3}[/latex]

- Find the products.
- [latex]4\dfrac{2}{3}[/latex]
- [latex]1\dfrac{1}{5}[/latex]
- 7
- [latex]1\dfrac{1}{2}[/latex]
- 1
- 2 [latex]\dfrac{1}{4}[/latex]
- 30
- 7 [latex]\dfrac{1}{2}[/latex]

- Find the products.
- [latex]\dfrac{1}{24}[/latex]
- [latex]\dfrac{1}{6}[/latex]
- [latex]\dfrac{1}{28}[/latex]
- [latex]\dfrac{7}{15}[/latex]

- Find the products.
- [latex]\dfrac{6}{7}[/latex]
- [latex]\dfrac{1}{12}[/latex]
- [latex]\dfrac{2}{9}[/latex]
- [latex]\dfrac{1}{15}[/latex]

- Find the products.
- [latex]3\dfrac{1}{7}[/latex]
- [latex]11\dfrac{3}{8}[/latex]
- [latex]1\dfrac{5}{6}[/latex]
- 6

- Find the products.
- [latex]\dfrac{1}{3}[/latex] cup sugar
- $ 36 000
- [latex]\dfrac{1}{6}[/latex] m
- [latex]3\dfrac{1}{2}[/latex] cm
- 36 students

- Find the products.
- [latex]4\dfrac{2}{3}[/latex]
- [latex]2\dfrac{1}{7}[/latex]
- [latex]\dfrac{6}{7}[/latex]
- [latex]\dfrac{4}{5}[/latex]
- [latex]\dfrac{1}{2}[/latex]

- Find the products.
- 14
- [latex]\dfrac{4}{5}[/latex]
- [latex]\dfrac{3}{8}[/latex]
- [latex]1\dfrac{7}{15}[/latex]
- [latex]1\dfrac{6}{11}[/latex]

- Find the products.
- [latex]\dfrac{5}{6}[/latex]
- [latex]8\dfrac{1}{4}[/latex] km in one day
- 780 balls of falafel
- 21 [latex]\dfrac{1}{2}[/latex]

It is now test time!

Please get the **practice test** from your instructor. Once you are ready, you can get the **Unit 3 test** from your instructor.

Good luck!