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Year 5 - Maths

Multiply a proper fraction by a whole number where the product is greater than a whole

Multiply a proper fraction by a whole number

Unit Summary

In this unit pupils will explain the relationship between repeated addition of a proper fraction and multiplication of fractions with both unit and not-unit fractions. They will multiply a proper fraction by a whole number.

Lesson Summary

You will learn to multiply a proper fraction by a whole number where the product is greater than a whole.

Key Notes

  • If 3 groups of 4 are equal to 12 then 3 groups of 4 fifths are equal to 12 fifths.
  • If the product is an improper fraction you can convert it to a mixed number.
  • The numerator of the fraction is multiplied by the whole number and the denominator remains the same.

Vocabulary To Learn

  • Represent: To represent something is to show it in a different way.
  • Unitise: Unitising means treating groups that contain or represent the same number of things as units or ones.
  • Mixed number: A number which combines both a whole number and a fraction.
  • Numerator: A numerator is the top number in a fraction. It shows how many parts we have.
  • Denominator: A denominator is the bottom number in a fraction. It shows how many parts a whole has been divided into.

Common Mistakes To Avoid

  • Pupils resort to a procedure with little understanding for how we convert between improper fractions and mixed numbers.

3 Quick Questions (With Answers)

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

If 3 groups of 4 are equal to 12 then 3 groups of 4 fifths are equal to 12 fifths. If the product is an improper fraction you can convert it to a mixed number.

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

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 resort to a procedure with little understanding for how we convert between improper fractions and mixed numbers. Correction: Encourage pupils to make connections between improper fractions and mixed numbers using both area models and number lines. Focus on reasoning by manipulating parts to complete wholes and where the wholes and parts are represented on the number line.

More Lessons In This Unit

Browse all guides in the Year 5 Maths guide library.