Multiplying Fractions

Multiply each fraction. Simplify where you can.

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Te reo Māori terms

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Learning objective overview

Master Teaching Guide coverage for this objective.

Current NZC (2007)
  • NA5-3
New NZC (2026)
  • NZC26-P4-NUM-NSO-P-Y9-14
  • NZC26-P4-NUM-NSO-K-Y9-04
  • NZC26-P3-NUM-NSO-K-Y8-05
  • NZC26-P3-NUM-NSO-P-Y7-24
  • NZC26-P3-NUM-NSO-P-Y8-15
  • NZC26-P3-NUM-NSO-P-Y8-16

Resources

  • Alpha textbook: Multiplying Fractions, Ex 8.01, pg 119
  • Alpha textbook: Contextual Questions, Ex 8.02, pgs 120 & 121
  • CorbettMaths worksheetQuestions PDF · Answers

Terminology

  • Top (referring to numerator)
  • Bottom (referring to denominator)
  • Cross-cancellation
  • Of

Task goals

  • Multiply two fractions by multiplying the numerators and multiplying the denominators.
  • Simplify a product of fractions using its highest common factor, including by cross-cancelling before multiplying.
  • Multiply a whole number by a fraction.
  • Convert a mixed number to an improper fraction before multiplying.
  • Check whether a claimed product of fractions is correct, and compare two products to decide which is greater.
  • Solve real-world problems that require multiplying fractions, such as finding a fraction of a fraction of a quantity.

Where this fits

What leads into this objective, and where it goes next.

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Multiplying Fractions

Multiplying Fractions

Do

Connecting multiplying or dividing decimals with multiplying or dividing fractions (e.g. 0.3 × 0.15 = 3/10 × 15/100)

Statement▸
Year 9 · Number · Number structures and operations
NZC26-P4-NUM-NSO-P-Y9-14
Know

Multiplying a fraction by an equivalent form of 1, such as 3/3, results in an equivalent fraction.

Statement▸
Year 9 · Number · Number structures and operations
NZC26-P4-NUM-NSO-K-Y9-04

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