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Year 5 - Maths

Multiply a mixed number by a whole number 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 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

  • Mixed number: A whole number and a fraction can be combined to form a mixed number.
  • Compare: You compare to find out what is the same and what is different. You can compare numbers or expressions to find out if one is greater than or less than another.
  • Partitioning: Partitioning is the act of splitting an object or value into smaller parts.

Common Mistakes To Avoid

  • Pupils may look to calculate each expression straight away.

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. 'Mixed number'

A whole number and a fraction can be combined to form a mixed number. Use this word when showing your method, then check your final answer is reasonable.

3. Spot and fix this common maths mistake.

Mistake: Pupils may look to calculate each expression straight away. Correction: Ensure pupils are encouraged to estimate expressions, showing how this can be more efficient particularly when looking to compare expressions. The product is not always needed.

More Lessons In This Unit

Browse all guides in the Year 5 Maths guide library.