GCSE Maths / Edexcel

Fractions of amounts

Find a fraction of an amount by dividing by the denominator and multiplying by the numerator.

Number and Place ValueFoundation and HigherGrades 3 to 5Focused skill

Curriculum path: GCSE Maths > Edexcel > Number > Fractions > Fractions of amounts

Pearson Edexcel GCSE Maths number: calculate exactly with fractions and use fractions of quantities.

Revision notes

Theory, examples, and quick checks.

Keep the method short, then practise straight away. This note is written for GCSE Maths Edexcel students who need clear working and reliable method marks.

Theory

The word of usually means multiply in maths. For Foundation GCSE, it is often easier to do this in two steps.

For 1 / 5 of an amount, divide the amount by 5.

For 3 / 5 of an amount, first find 1 / 5, then multiply by 3.

The denominator tells you how many equal parts the amount is split into.

The numerator tells you how many of those parts you need.

If the numerator is 1, you only need to divide by the denominator.

Key ruleDivide by the denominator, then multiply by the numerator.

Worked examples

Unit fraction

Find 1 / 4 of 60.

  1. The denominator is 4.
  2. 60 / 4 = 15.

Answer: 15

Non-unit fraction

Find 3 / 5 of 80.

  1. First find 1 / 5 of 80: 80 / 5 = 16.
  2. Then find 3 / 5: 16 x 3 = 48.

Answer: 48

Money context

A student spends 2 / 3 of 45 pounds. How much do they spend?

  1. 45 / 3 = 15.
  2. 15 x 2 = 30.

Answer: 30 pounds

Common mistakes

  • Multiplying by the denominator instead of dividing.
  • Doing the numerator and denominator in the wrong order when the numbers are not friendly.
  • Finding 1 / 5 but forgetting to multiply by 3 for 3 / 5.
  • Dividing by the numerator first.

Quick exercise

Try these before moving to the exam-style questions.

  1. Find 1 / 4 of 80.
  2. Find 3 / 4 of 80.
  3. Find 2 / 5 of 100.
  4. Find 5 / 6 of 48.
  5. Find 7 / 10 of 90.
Exam-style questions

Practise the same skill at three levels.

These are original GCSE-style questions with mark schemes, common wrong answers, and AI marking guidance so feedback stays close to exam expectations.

Basic GCSE styleFoundationNon-calculator2 marks

Find 3 / 8 of 64.

fractions of amountsunit fractionsfoundation number
Standard exam styleFoundation and HigherNon-calculator3 marks

There are 96 students in Year 10. 5 / 8 of them study Spanish. How many students study Spanish?

fractions of amountsworded problemfoundation number
ChallengeFoundation and HigherNon-calculator4 marks

A charity raises 240 pounds. It spends 3 / 5 of the money on equipment and saves the rest. How much money is saved?

fractions of amountsremaining amountworded problem