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Mathematics·Fractions·procedural

Fraction Word Problems

Solve word problems involving addition and subtraction of fractions with unlike denominators, using visual models and benchmark fractions to estimate and assess reasonableness

Suggested ages 10–11

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Learning journey

Your child is mastering advanced fraction operations — adding, subtracting, and multiplying fractions with different denominators, dividing with fractions, and solving real-world problems using visual models and mathematical reasoning.

Evidence of understanding

  • Solve: 'Tara ate 2/5 of a pizza and Sam ate 1/3. How much did they eat together?'
  • Recognise that 2/5 + 1/2 ≠ 3/7 because 3/7 < 1/2 but the sum should exceed 1/2
  • Estimate a fraction sum using benchmarks (0, 1/2, 1) before computing exactly

Assessment prompt

If Fraction Word Problems walks 1 and 1/2 miles to school and 3/4 of a mile to a friend's house, can they work out the total distance — and check whether their answer makes sense?

Standards alignment

No external standards are linked to this topic.