Equivalent Fractions (Year 5)

Find equivalent fractions by scaling the numerator and denominator equally.

The questions below are generated to match the National Curriculum for Year 5 and get harder as you progress from Rookie to Guru.

Worked examples

RookieRead and interpret directly.

What is 3/5 + 1/5?

  • 4/5
  • 4/10
  • 3/25
  • 4/0

Answer: 4/5. Same denominator → add tops only.

ProCompare and infer.

What is 2/5 + 3/10?

  • 5/15
  • 5/10
  • 7/10
  • 7/15

Answer: 7/10. Convert 2/5 to 4/10. Then 4/10 + 3/10 = 7/10.

GuruMulti-step reasoning.

The same amount of orange juice fills ¾ of a small jug or ½ of a large jug. What fraction of the large jug's capacity is the small jug's capacity?

  • 1/6
  • 2/3
  • 3/8
  • 4/6

Answer: 2/3. If the juice is amount J: small jug = J ÷ (3/4) = 4J/3. Large jug = J ÷ (1/2) = 2J. Ratio: (4J/3) / (2J) = (4/3) / 2 = 4/6 = 2/3.

Related skills

Frequently asked questions

What is equivalent fractions?
Find equivalent fractions by scaling the numerator and denominator equally.
How can my child practise equivalent fractions at home?
Work through the examples below, then start a free adaptive session. Northstar adjusts the difficulty automatically and tracks mastery over time.

Practise this adaptively

Start a free session that adjusts to your child's level, tracks mastery and celebrates progress.

Start free