Adding and subtracting fractions

Add or subtract each fraction. Simplify where you can.

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Learning objective overview

Master Teaching Guide coverage for this objective.

Current NZC (2007)
  • NA4-2
New NZC (2026)
  • NZC26-P4-NUM-NSO-P-Y9-13
  • NZC26-P3-NUM-NSO-P-Y7-21

Resources

  • Alpha textbook: Same denominator, Ex 7.06, pg 111
  • Alpha textbook: Different denominators, PSC 7B, pgs 114 & 115
  • Alpha textbook: Contextual Questions, Ex 7.09, pgs 115 & 116
  • Alpha textbook: Check Your Understanding, pgs 116 & 117

Terminology

  • Lowest common multiple
  • Common denominator
  • Equivalent fractions

Task goals

  • Add and subtract fractions that already share a common denominator.
  • Find the lowest common multiple of two denominators and use it to write equivalent fractions with a common denominator.
  • Add and subtract fractions with different denominators by first converting them to a common denominator.
  • Solve contextual word problems that require adding or subtracting fractions.

Where this fits

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

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Adding and subtracting fractions

Adding and subtracting fractions

Do

Adding, subtracting, multiplying, and dividing fractions and decimals

Statement▸
Year 9 · Number · Number structures and operations
NZC26-P4-NUM-NSO-P-Y9-13

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