Multiplication and division of fractions

Multiplication and division of fractions

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Threads

Why this why now

This unit introduces pupils to multiplying pairs of unit and then non-unit fractions, using representations to explain the scale of the answer in relation to the fractions being multiplied. They will also use representations and their knowledge of division to divide a fraction by a whole number. They will take this understanding and apply it in the context of percentages, seeing the link between fractions and percentages.

Prior knowledge requirements

  • Understand fractions as parts of a whole
  • Multiply a fraction by a whole number
  • Interpret division of a whole number by a unit fraction

Threads

Why this why now

This unit introduces pupils to multiplying pairs of unit and then non-unit fractions, using representations to explain the scale of the answer in relation to the fractions being multiplied. They will also use representations and their knowledge of division to divide a fraction by a whole number. They will take this understanding and apply it in the context of percentages, seeing the link between fractions and percentages.

Prior knowledge requirements

  • Understand fractions as parts of a whole
  • Multiply a fraction by a whole number
  • Interpret division of a whole number by a unit fraction