Fractions Of Fractions (Year 6)
Practise fractions of fractions within Fractions for Year 6, with worked examples and instant feedback.
The questions below are generated to match the National Curriculum for Year 6 and get harder as you progress from Rookie to Guru.
Worked examples
RookieRead and interpret directly.
Calculate 2/5 + 1/10.
- 1/2
- 3/15
- 3/10
- 2/15
Answer: 1/2. 2/5 = 4/10. 4/10 + 1/10 = 5/10 = 1/2.
ProCompare and infer.
Tom eats 1/3 of a cake. Then he eats 1/4 of what's left. What fraction is GONE?
- 1/2
- 7/12
- 1/3
- 5/12
Answer: 1/2. After 1/3 eaten: 2/3 left. 1/4 of 2/3 = 1/6. Total: 1/3 + 1/6 = 1/2.
GuruMulti-step reasoning.
Simplify 36/48.
- 3/4
- 6/8
- 9/12
- 18/24
Answer: 3/4. Find the HCF of 36 and 48, which is 12. 36 ÷ 12 = 3, 48 ÷ 12 = 4. Simplified: 3/4.
Related skills
Frequently asked questions
- What is fractions of fractions?
- Practise fractions of fractions within Fractions for Year 6, with worked examples and instant feedback.
- How can my child practise fractions of fractions at home?
- Work through the examples below, then start a free adaptive session. Northstar adjusts the difficulty automatically and tracks mastery over time.
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