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. 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 probl