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Fractions · Usually met around P5

Multiplying and dividing fractions

From “Fractions as division” to “Bar models for fraction problems”, step by step, each skill with its methods, worked examples and answers.

Skills in this topic, easy to hard

  1. Fractions as divisiona ÷ b = a/b
  2. Fractions of an amountDivide by the bottom, times the top
  3. Multiplying fractionsTops times tops, bottoms times bottoms
  4. Does multiplying make it bigger or smaller?Times more than 1: bigger. Less than 1: smaller
  5. Mixed numbers, and three numbers multiplied or dividedMixed to improper; ÷ becomes × the reciprocal
  6. Dividing fractionsDividing by a fraction: flip it and multiply
  7. Fractions: mixed operationsBrackets → × ÷ → + −
  8. From a part to the whole (unitary method)Find one part, then the whole
  9. Bar models for fraction problemsWhich cells does the number cover? Find one cell
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