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MathematicsFractionsAges 10–11

Dividing fractions (unit fractions)

Interpret and compute division of a unit fraction by a non-zero whole number (e.g. 1/3 ÷ 4 = 1/12); use visual models and the relationship between multiplication and division to explain the result

Teaching approaches

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If your child has 1/3 of a bag of rice and splits it into 4 equal portions, can they work out what fraction of the whole bag each portion is — and explain why the answer is smaller than 1/3?

Interpret and compute division of a unit fraction by a non-zero whole number (e.g. 1/3 ÷ 4 = 1/12); use visual models and the relationship between multiplication and division to explain the result

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Check understanding

  • Compute (1/3) ÷ 4 = 1/12 and explain using a visual model of splitting 1/3 into 4 equal parts
  • Create a story context for (1/6) ÷ 3 and solve it
  • Verify (1/3) ÷ 4 = 1/12 by showing (1/12) × 4 = 1/3
“If your child has 1/3 of a bag of rice and splits it into 4 equal portions, can they work out what fraction of the whole bag each portion is — and explain why the answer is smaller than 1/3?”

Curriculum record

Type
Conceptual
Subject
Mathematics
Domain
Fractions
Age range
Ages 10–11