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Equivalent fractions.

Recognise families of equivalent fractions using diagrams.

Numihana · England Year 6

Equivalent fractions

Practice sheet

Name: ______________
Date: ______________

Recognise families of equivalent fractions using diagrams.

1

3/10 = /40 — find the missing numerator.

Answer: ________________
2

1/4 = /20 — find the missing numerator.

Answer: ________________
3

1/2 = /4 — find the missing numerator.

Answer: ________________
4

8/10 = /20 — find the missing numerator.

Answer: ________________
5

1/2 = /4 — find the missing numerator.

Answer: ________________
6

1/5 = /15 — find the missing numerator.

Answer: ________________
Numihana · England Year 6 · Equivalent fractions
Numihana · England Year 6

Equivalent fractions

Answer key

Name: ______________
Date: ______________

Recognise families of equivalent fractions using diagrams.

1

3/10 = /40 — find the missing numerator.

Answer: 12
2

1/4 = /20 — find the missing numerator.

Answer: 5
3

1/2 = /4 — find the missing numerator.

Answer: 2
4

8/10 = /20 — find the missing numerator.

Answer: 16
5

1/2 = /4 — find the missing numerator.

Answer: 2
6

1/5 = /15 — find the missing numerator.

Answer: 3
Numihana · England Year 6 · Equivalent fractions

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The skill behind this activity

Recognise families of equivalent fractions using diagrams.

Department for Education: mathematics programmes of study ↗

Year 6 → Number → Fractions (including decimals and percentages) · Selected statutory skill. Pack 2.2.0 · source checked 2026-10-12.

For teachers and parents

Multiply numerator and denominator by the same factor. The number of pieces changes, but the amount represented stays equal.

A common slip

Changing only the denominator changes the fraction’s value.

Curriculum coverage

Worked example

3/4 = /8 — find the missing numerator.

Answer: 6

Multiply numerator and denominator by the same factor. The number of pieces changes, but the amount represented stays equal.