# Explain that addition and subtraction of fractions are inverse operations

I can explain that addition and subtraction of fractions are inverse operations.

# Explain that addition and subtraction of fractions are inverse operations

I can explain that addition and subtraction of fractions are inverse operations.

## Lesson details

### Key learning points

- You know that if 3 + 4 = 7 then 7 - 4 = 3
- Facts about whole numbers can be applied to the numerators of fractions with the same denominator.
- If 3 tenths plus 4 tenths is equal to 7 tenths then 7 tenths subtract 4 tenths is equal to 3 tenths.

### Common misconception

Children might add or subtract the denominator as well.

Reinforce to children that the denominator denotes the unit fraction being used in calculation so does not need changing. Count aloud with physical objects to start with before moving onto counting in unit fractions.

### Keywords

Additive - Additive equations involve addition or subtraction.

Inverse - Inverse means the opposite in effect or reverse of. For example, subtraction is the inverse operation of addition.

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.

### Licence

This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

## Video

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