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Unit Fractions as Division

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Unit Fractions as Division

For each unit fraction, divide the whole number by the denominator. Show your working where you can.

Choose and match

1.Which division sentence finds one-eighth of 32?

32 ÷ 8 = 4
32 ÷ 4 = 8
8 ÷ 32 = 4
32 × 8 = 256

2.What is one-fifth of 35?

3.Select every true statement.

One-quarter of 28 is 28 ÷ 4.
One-third of 12 is 12 ÷ 4.
One-sixth of 7 is not a whole number.
One-half of 18 is 18 ÷ 2.

4.Match each unit fraction of a number to its value. Values may be reused.

One-third of 21
One-fifth of 30
One-eighth of 48
One-seventh of 49
One-sixth of 60

Work it out

5.Write a division sentence and calculate one-sixth of 42.

6.Calculate one-eighth of 3. Give your answer as a fraction and as a decimal.

7.A box holds 45 feijoas. They are shared equally among 5 baskets. How many feijoas go in each basket? Write a unit-fraction sentence and a division sentence.

8.A ribbon is 5 metres long. What is one-fourth of its length? Give the answer as a fraction of a metre and as a decimal.

9.On the number line, mark and label one-sixth and three-sixths. Divide the space from 0 to 1 into equal sixths.

10.Complete the equation: one-seventh of 11 = 11 ÷ 7 = . Give the exact fraction and a decimal rounded to two decimal places.

11.Explain why finding one-nth of a number is the same as dividing the number by n.

12.A tray of 17 muffins is shared equally among 4 tables. How many muffins does each table receive? Give the answer as a mixed number and as a decimal.