Dividing fractions · Year 6

In Year 6 you learn: dividing fractions by whole numbers.

Dividing by a fraction asks “how many of these fit?”. Dividing a fraction by a whole number shares it into equal parts. To divide by a fraction, multiply by its reciprocal: keep, change, flip.

Key facts

  • Dividing a fraction by a whole number shares it: 1/2 ÷ 3 = 1/6, the same as 1/2 × 1/3.

Worked examples

Example 1

Work out 1/2 ÷ 3.

Answer: 1/6

Example 2

Work out 2/3 ÷ 4.

Answer: 1/6

Example 3

Half a pizza is shared equally between 4 friends. What fraction of the whole pizza does each friend get?

Answer: 1/8

Other years