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Year 5 - Maths

Multiply a mixed number by a whole number not bridging a whole

Multiply improper fractions and mixed numbers by a whole number

Unit Summary

In this unit pupils will multiply an improper fraction and a mixed number by a whole number.

Lesson Summary

You will learn to multiply a mixed number by a whole number where the fractions do not bridge a whole.

Key Notes

  • Partition the mixed number into a whole number and a fraction.
  • Multiply the whole number part by the whole number factor.
  • Multiply the fraction by the whole number using unitising language.
  • Recombine the partial products to calculate the overall product.

Vocabulary To Learn

  • Repesent: To represent something is to show it in a different way.
  • Mixed number: A mixed number is an improper fraction written as its whole number part plus the fractional part, where the fractional part is a proper fraction.
  • Partition: Partition means to split an object or value down into smaller parts.

Common Mistakes To Avoid

  • Pupils find it difficult to represent the problem as an expression or equation as they misinterpret what the whole is.

3 Quick Questions (With Answers)

1. Solve this in steps: explain the method from this lesson and why each step matters.

Partition the mixed number into a whole number and a fraction. Multiply the whole number part by the whole number factor.

2. Use this key word in a maths sentence and explain it clearly. 'Repesent'

To represent something is to show it in a different way. Use this word when showing your method, then check your final answer is reasonable.

3. Spot and fix this common maths mistake.

Mistake: Pupils find it difficult to represent the problem as an expression or equation as they misinterpret what the whole is. Correction: Draw attention to what the whole is in each example. You might like to build up each image with a whole at a time, describing the fraction of the whole that is shaded/represented.

More Lessons In This Unit

Browse all guides in the Year 5 Maths guide library.