Fractions as division

Mathematics · Fractions · ages 10-11

Name ______________________ Date ____________

This bar has 5 equal parts, with 2 shaded. Which division matches the shaded amount?
- 2 ÷ 5
- 5 ÷ 2
- 2 × 5
What whole number equals 15/5?
Answer: ______________
Five children share 13 litres equally. Which division finds one child's share?
- 5 ÷ 13
- 13 × 5
- 13 ÷ 5
- 13 − 5
What division is hidden inside the fraction 3/4?
- 3 ÷ 4
- 4 ÷ 3
- 3 × 4
Three people each receive 4 2/3 litres from 14 litres. Which multiplication checks the sharing?
- 3 × 4 2/3 = 12
- 3 × 4 2/3 = 6
- 3 × 4 2/3 = 42
- 3 × 4 2/3 = 14
7 people share a 30-pound sack of beans equally. After giving each person as many whole pounds as possible, how many pounds are left over to split?
Answer: ______________
Six jugs share 23 litres equally. How many litres go in each jug?
- 3 4/6
- 3 5/6
- 4 1/6
- 2 5/6
If 5 ÷ 6 = 5/6, what should 5/6 × 6 equal?
- 5
- 6
- 11
Five children share 24 metres of ribbon. Which proposed equal share passes the multiplying-back check?
- 4 4/5 metres
- 4 1/5 metres
- 5 4/5 metres
- 5 1/5 metres
Noah solves '9 people share 50 pounds of rice equally' and writes the answer as '5 r5'. What is missing from his answer?
- Nothing, 5 r5 is correct
- He needs to write the leftover as a fraction: 5 5/9
- He should multiply 5 by 9 instead

Answer key

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

2 ÷ 5 · The shaded amount is 2 out of 5 equal parts, which is the same as 2 ÷ 5.
3 · 15/5 means 15 divided by 5, which is 3.
13 ÷ 5 · Divide the total amount by the number of equal shares.
3 ÷ 4 · The top number, 3, is divided by the bottom number, 4.
3 × 4 2/3 = 14 · Multiply one share by three. The whole parts total twelve litres and the fraction parts total two.
2 · 7 × 4 = 28, and 30 − 28 = 2 pounds left over to share as a fraction.
3 5/6 · Three litres in each jug use eighteen litres. Sharing the five remaining litres six ways gives another 5/6 litre per jug.
5 · Multiplying the fraction by the denominator undoes the division and returns the original numerator, 5.
4 4/5 metres · Five shares of 4 4/5 metres use exactly 24 metres.
He needs to write the leftover as a fraction: 5 5/9 · A remainder alone is not a full answer to a sharing problem. The leftover 5 pounds still gets divided among the 9 people, giving 5 5/9 pounds each.