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Primary 6 · Fractions · Question type 2.1

P6 Fractions: Dividing a Fraction by a Whole Number

To share a fraction among several people, multiply the bottom number by the number of people and keep the top number the same.

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Primary 6, on the MOE Primary Mathematics syllabus.

In the Fractions chapter7 question types · see the chapter

The lesson · 1 minute 59 seconds

How do you divide a fraction by a whole number in P6?

Watch: 3/5 of a chocolate bar shared among 2 friends

Another worked example

A worked example

Rahim and Mei Ling each had a cake of the same size. Rahim ate 2/5 of his cake and cut the remainder into 4 equal pieces. Mei Ling ate 1/3 of her cake and cut the remainder into 8 equal pieces. How much bigger is one of Rahim's pieces than one of Mei Ling's? Give your answer as a fraction of a whole cake, in the simplest form.

The working · Six lines

The step-by-step working

Written out in full, the way it should appear on paper.

  1. fraction of Rahim's cake left = 1 - 2/5 = 3/5
  2. one of Rahim's pieces = 3/5 ÷ 4 = 3/20
  3. fraction of Mei Ling's cake left = 1 - 1/3 = 2/3
  4. one of Mei Ling's pieces = 2/3 ÷ 8 = 1/12
  5. the difference = 3/20 - 1/12 = 9/60 - 5/60 = 4/60
  6. difference in simplest form = 4/60 = 1/15

The answer is 1/15.

Practise · Modelled on top school exam questions

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Try it yourself

Share the ribbon

Write the fraction of the whole that each person receives.

3/4 of a ribbon is shared equally between 2 people. How much of a whole ribbon does each person get?

Show the step-by-step solution
  1. share for each person = 3/4 ÷ 2 = 3/4 × 1/2
  2. share for each person = 3/4 × 1/2 = 3/8

Ans: 3/8

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