Sharing and scooping fractions

Mathematics · Fractions · ages 10-11

Name ______________________ Date ____________

3 friends share 1/2 of a chocolate bar equally. How much does each friend get?
- 1/6 of the bar
- 1/5 of the bar
- 1/3 of the bar
- 3/2 of the bar
4 people share 1/3 lb of cheese equally. Which division shows how much cheese each person gets?
- 4 ÷ 1/3
- 1/3 ÷ 4
- 1/3 × 4
1/2 ÷ 3 describes splitting one half-pound of chocolate equally among 3 people.
Circle one: True False
You have 3 cups of oats and scoop out 1/2 cup at a time. Which division tells you how many scoops you get?
- 1/2 ÷ 3
- 3 × 1/2
- 3 ÷ 1/2
You have 4 cups of birdseed and fill 1/4-cup scoops for a feeder. How many scoops can you fill?
Answer: ______________
What is 1/3 divided by 4?
- 1/12
- 1/7
- 4/3
- 1/4
True or false: 1/4 divided by 2 equals 1/8.
Circle one: True False
How many 1/3-cup servings are in 2 cups of raisins?
Answer: ______________
You pour 1/2 liter of juice equally into 5 bottles. Which expression finds the amount in one bottle?
- 1/2 divided by 5
- 5 divided by 1/2
- 1/2 times 5
- 5 times 1/2
Mia solves 'divide 1/3 lb of cheese equally among 5 people' as 5 ÷ 1/3 = 15. What mistake did she make?
- She should have multiplied instead of divided
- She forgot to reduce her final answer
- She divided the wrong way. It should be 1/3 ÷ 5, not 5 ÷ 1/3

Answer key

For grown-ups. Fold this page away before handing over the rest.

1/6 of the bar · Splitting 1/2 into 3 equal parts gives 1/6 for each friend. Each part gets smaller, so 1/3 of the bar would be too big.
1/3 ÷ 4 · Sharing a small amount among people is unit fraction ÷ whole number: 1/3 ÷ 4.
True · That's right. The unit fraction 1/2 is being split into 3 equal shares.
3 ÷ 1/2 · Counting how many small scoops fit inside a bigger amount is whole number ÷ unit fraction: 3 ÷ 1/2.
16 · Each cup makes 4 scoops of 1/4 cup, so 4 cups make 4 × 4 = 16 scoops.
1/12 · Splitting 1/3 into 4 equal pieces gives 1/12, because 3 x 4 = 12 and 4 x 1/12 = 1/3.
True · Splitting 1/4 into 2 equal pieces gives pieces of 1/8, because 2 x 1/8 = 1/4.
6 · Each cup holds three 1/3-cup servings, so 2 cups hold 2 × 3 = 6 servings.
1/2 divided by 5 · You start with 1/2 liter and split it into 5 equal shares, so the expression is 1/2 divided by 5. Each bottle gets 1/10 liter.
She divided the wrong way. It should be 1/3 ÷ 5, not 5 ÷ 1/3 · Sharing a small amount among people is unit fraction ÷ whole number: 1/3 ÷ 5 = 1/15 lb each.