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Year 6 - Maths

Explain how to add related unit fractions without a representation or image

Addition and subtraction of fractions

Unit Summary

In this unit pupils will explain how to write a fraction in its simplest form when solving addition and subtraction problems.

Lesson Summary

You will learn to explain how to add related unit fractions with and without a representation or image.

Key Notes

  • Common multiples help you to convert a fraction to a common denominator.
  • When adding fractions the denominators have to be the same.
  • The language of unitising helps you to add fractions with the same denominators.
  • When adding fractions with the same denominators you just add the numerators,

Vocabulary To Learn

  • Related fractions: When the denominator of one fraction is a multiple of the denominator of another fraction, we can say these fractions are related fractions.
  • Common denominator: When two or more fractions share the same denominator, you can say they have a common denominator.

Common Mistakes To Avoid

  • Pupils try to add both the numerators and both the denominators in order to find the sum.

3 Quick Questions (With Answers)

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

Common multiples help you to convert a fraction to a common denominator. When adding fractions the denominators have to be the same.

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

When the denominator of one fraction is a multiple of the denominator of another fraction, we can say these fractions are related fractions. Use this word when showing your method, then check your final answer is reasonable.

3. Spot and fix this common maths mistake.

Mistake: Pupils try to add both the numerators and both the denominators in order to find the sum. Correction: Spend time converting related fractions so that the denominators are common. Use analogies such as adding cats and dogs and needing to rename them as animals or pets to help highlight the need for a common counting unit (or common denominator).

More Lessons In This Unit

Browse all guides in the Year 6 Maths guide library.