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Division and Fractions Sharing

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Division and Fractions Sharing

Work through each question. Show your working where space is provided. Give fraction answers in simplest form.

Sharing equally

1.At a building site, Hemi divides 35 safety tags equally among 5 tool kits. How many tags go in each kit?

2.Manaia splits 21 measuring pegs into 7 equal piles. What fraction of all the pegs is in one pile?

1/7
1/3
7/21
3/7

3.Rawiri shares 18 work gloves equally among 6 workers. Draw or describe one way to show the equal sharing, then state how many gloves each worker receives.

Simplifying and identifying fractions

4.Simplify 10/15 to its lowest terms.

5.Simplify 12/20 to its lowest terms.

6.Simplify 14/21 to its lowest terms.

7.Simplify 15/25 to its lowest terms.

8.Which fractions are equivalent to 2/3? Select every correct answer.

4/6
6/9
3/5
8/12
5/8

9.Use the fraction bar to show why 6/9 simplifies to 2/3. Write the simplified fraction.

Comparing and ordering fractions

10.Arrange these fractions from smallest to largest: 1/3, 5/6, 1/2 and 2/3.

11.Which fraction is larger: 4/5 or 3/4?

12.Which fraction is larger: 3/8 or 1/2?

13.Which fraction is larger: 5/6 or 7/9?

14.Match each fraction to its description: 1/5, 1/2, 3/4 and 1/10.

1/5
1/2
3/4
1/10

One tenth of the way from 0 to 1
One fifth of the way from 0 to 1
Three quarters of the way from 0 to 1
Halfway from 0 to 1

Division answers as fractions

15.Twenty-nine bolts are shared equally among 6 workers. How many whole bolts does each worker receive, and what fraction of a bolt is left for each worker?

16.Write 31 ÷ 7 as a mixed number.

17.Write 22 ÷ 5 as a mixed number.

18.Write 35 ÷ 8 as a mixed number.

19.A roll of safety tape is 1 metre long. Four workers share it equally. What fraction of a metre does each worker get?

Problem solving

20.A building crew has 43 paving blocks. Each completed stack uses 9 blocks. How many full stacks can they make, and what fraction of another stack can they make with the blocks left over?

21.Explain how you can tell that 3/4 and 6/8 name the same amount.

22.Thirty-two lengths of conduit are shared equally between 5 work areas. Give the amount for each area as a mixed number and as an improper fraction.