# Reason about how to write a fraction in its simplest form

I can reason about how to write a fraction in its simplest form.

# Reason about how to write a fraction in its simplest form

I can reason about how to write a fraction in its simplest form.

## Lesson details

### Key learning points

- A common factor is a number which is a factor of both the numerator and denominator.
- A fraction is in its simplest form when there is no common factor of the numerator and the denominator.

### Common misconception

Pupils try to make a fraction in a simpler form by finding separate factors for the numerator and denominator to simplify.

Share examples for why this cannot be true with images to highlight the difference in the size of the fractions. Draw attention to the fact that it is both the numerator and denominator that needs to be scaled by a common factor.

### Keywords

Common factor - When we compare lists of factors of two or more numbers, common factors are those shared by all the numbers.

Simplify - To simplify a fraction is to identify the highest common factor shared by the numerator and denominator and to scale down both by that factor.

Equivalent - If two numbers or expressions have the same value, they are said to be equivalent.

### 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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## Starter quiz

### 6 Questions

## Exit quiz

### 6 Questions

$${1} \over {3}$$ -

$${3} \over {9}$$

$${1} \over {4}$$ -

$${2} \over {8}$$

$${1} \over {5}$$ -

$${3} \over {15}$$

$${1} \over {6}$$ -

$${5} \over {30}$$