Division as a fraction

Primary 5 Fraction and Division study guide: the whole chapter, step by step

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Write a whole-number division as a fraction, simplify it, then convert an improper fraction to a mixed number.

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Division as a fraction

1 min 56 s

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Today's question

Siti had 3 papayas of the same size. She shared all of them equally among 4 children. What fraction of a papaya did each child get?

  1. number of papayas ÷ number of children
  2. = 3 ÷ 4
  3. 3 ÷ 4 = 3/4

Ans: 3/4

How to solve it
  1. Name what is shared and how many ways: 3 papayas among 4 children, so the sum is 3 divided by 4.
  2. 3 papayas will not go round 4 children whole, so cut every papaya into 4 equal parts. One part is one quarter.
  3. Hand out one part from each papaya to each child. Nothing is left over.
  4. One plate holds 3 parts, each one quarter of a papaya, so 3 divided by 4 is three quarters.
  5. The number being shared goes on top, and the number of ways goes on the bottom.
  6. Check that the answer makes sense: 3 papayas among 4 children gives each child less than one whole papaya, so three quarters fits.

In a division written as a fraction, the number being shared is on top. So each child gets three quarters of a papaya, which is less than one whole.

Practice questions with worked solutions

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Question 1 of 17 · Basic · free to tryExpress 14 ÷ 15 as a fraction in its simplest form.Express 14 ÷ 15 as a fraction in…

Express 14 ÷ 15 as a fraction in its simplest form.

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Working

  1. 14 ÷ 15 = 14/15
  2. 14 and 15 have no common factor greater than 1, so 14/15 is in its simplest form

Answer: 14/15

For parents

How do you answer P5 division as a fraction questions?

This page teaches the first Primary 5 outcome on fraction and division: dividing a whole number by a whole number, with the quotient written as a fraction.

What your child learns here

This page teaches the first Primary 5 outcome on fraction and division: dividing a whole number by a whole number, with the quotient written as a fraction. It covers sharing fewer things than people and more things than people.

  • A division can be written as a fraction: 2 ÷ 5 = 2/5.
  • The number being shared is the numerator; the number of shares is the denominator.
  • Sharing fewer things than people gives a proper fraction, less than one whole each.
  • Sharing more things than people gives an improper fraction, which is then written as a mixed number.
  • In measurement questions the answer is a length or mass with its unit, not a fraction of the object.
Does the answer make sense?

When the question asks for one share, your child's answer must be less than one whole if there are fewer things than people, and more than one whole if there are more things than people. So 7 cakes among 3 children must give between 2 and 3 cakes each.

How to practise these questions

Basic questions train writing a division as a fraction, deciding which number goes on top, and turning an improper answer into a mixed number. Intermediate questions add measures shared equally and then simplified within their unit. Challenge questions compare two sharings over a common denominator, ask about only the part beyond one whole, or make your child count the sharers before dividing. When the fraction comes out upside down, watch that question's solution film, then try it again later from Revision. Multiple-choice Basic questions ask which of four fractions, decimals, mixed numbers or divisions is NOT equal to a given division; the written working converts every option, and there is no film.

Questions parents ask

Is 3 ÷ 4 the same as three quarters? Yes. Sharing 3 wholes equally among 4 gives three quarters each, so 3 ÷ 4 = 3/4.

Where is this in the Primary 5 syllabus? It is the first outcome under Fraction and Division: dividing a whole number by a whole number with quotient as a fraction.

Should the answer be a mixed number? If the fraction is improper, it is usually written as a mixed number in simplest form, unless the question asks otherwise. For example, 9 ÷ 4 = 9/4 = 2 1/4.