Year 6 Fractions

Add, subtract, multiply, and divide fractions; simplify using HCF; work confidently with mixed numbers.

Try the worked examples below, then start an adaptive session that adjusts to your level.

Worked examples

RookieRead and interpret directly.

A school sells 30 tickets. 2/3 of them are sold before lunch. How many is that?

  • 30
  • 20
  • 10

Answer: 20. 30 ÷ 3 = 10, then × 2 = 20.

ProCompare and infer.

Hamid collects 60 shells on the beach. 3/4 of them are white. How many white shells does Hamid have?

  • 45
  • 48
  • 15

Answer: 45. 60 ÷ 4 = 15. 15 × 3 = 45.

GuruMulti-step reasoning.

A box holds 60 books. 2/6 of them are taken. How many books are LEFT?

  • 40
  • 20
  • 30
  • 60

Answer: 40. Find the fraction taken, then subtract: 2/6 of 60 = 20, so 60 − 20 = 40 left.

Skills in this topic

Frequently asked questions

What is covered in Year 6 Fractions?
Add, subtract, multiply, and divide fractions; simplify using HCF; work confidently with mixed numbers. Key skills include Adding Fractions, Fractions Of Fractions, Simplifying Fractions.

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