Maths · Intermediate

Finding fractions of amounts

Finding a fraction of an amount means working out, for example, 3/4 of 20 sweets or 2/5 of £45. It is used in recipes, discounts and sharing.

Ages
7–14 (rough guide)
Level
Intermediate
Subject
Maths
Time
15 minutes
Format
Online + printable
Stage
UK Years 3–6 · roughly US Grades 3–5
  1. 1Learn it
  2. 2See it worked
  3. 3Try it online
  4. 4Print it
  5. 5Check your answer

Before you start

Who it's for and what to know first

Division and multiplication facts; knowing that the bottom number (denominator) says how many equal parts.

Learn it

How it works

  • The denominator (bottom) tells you how many equal groups to split into. The numerator (top) tells you how many of those groups you want.
  • Rule: divide by the bottom, times by the top.
  • For unit fractions (numerator 1), just divide: 1/5 of 30 = 30 ÷ 5 = 6.
  • Check it makes sense: less than a whole fraction must give less than the amount.

Worked example 1

3/4 of 28

  1. Divide by the bottom: 28 ÷ 4 = 7.
  2. Times by the top: 7 × 3 = 21.

Answer: 21

Worked example 2

2/5 of £45

  1. £45 ÷ 5 = £9.
  2. £9 × 2 = £18.

Answer: £18

Try it online · print it · check it

Practice questions

Find each fraction of the amount. Show the divide step and the multiply step. Type your answer, then press Check answers.

Tips

Common mistakes

  • Dividing by the top number instead of the bottom.
  • Stopping after the divide step when the numerator is not 1.

Last reviewed: 25 September 2026