Mixed Numbers

Convert between mixed numbers and improper fractions, and add, subtract, compare, and apply mixed numbers in real-world contexts such as recipes and measurement, simplifying results where needed.

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Te reo Māori terms

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Related resources in Number

Learning objective overview

Master Teaching Guide coverage for this objective.

Resources

  • Alpha textbook: Working with mixed numbers, Ex 8.07 and Ex 8.08, pgs
  • Alpha textbook: 129
  • Alpha textbook: Using mixed numbers in context, Ex 8.09, pgs 130 and
  • Alpha textbook: 131

Terminology

  • mixed number
  • improper fraction
  • whole number part
  • numerator
  • denominator

Task goals

  • Convert a mixed number to an improper fraction, and an improper fraction to a mixed number.
  • Combine a whole number and a fraction into a single mixed number.
  • Add and subtract mixed numbers with the same denominator.
  • Compare two mixed numbers, or a mixed number and an improper fraction, to find which is greater.
  • Add and subtract mixed numbers with different denominators, simplifying the result where needed.
  • Solve real-world word problems involving adding or subtracting mixed numbers, such as lengths, capacities, and quantities of food.
  • Check and explain whether a given conversion or simplification of a mixed number or improper fraction is correct.
  • Solve harder mixed-number problems, including adding or subtracting three mixed numbers, ordering several mixed numbers and fractions together, filling in equivalent-fraction blanks, and substituting mixed-number values into a simple algebraic expression.

Key skills

  • Mixed numbers
  • Improper fractions
  • Mixed numbers context

Quick stats

  • 81 total questions
  • 3 difficulty levels
  • Answers included
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For teachers

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