# Explain the relationship between numerators and denominators across equivalent fractions

I can explain the relationship across numerators and denominators in equivalent fractions.

# Explain the relationship between numerators and denominators across equivalent fractions

I can explain the relationship across numerators and denominators in equivalent fractions.

## Lesson details

### Key learning points

- In equivalent fractions the numerators will share a common factor and the denominators will share a common factor.
- In equivalent fractions, the numerators and denominators have been scaled up or down by the same factor.
- If you multiply the numerator and denominator by the same factor, the fractions will be equivalent.

### Common misconception

Pupils may not see the relationship between the numerator and denominator in a fraction as an indication of equivalence. They may only see that they can keep doubling the numerator and denominator.

When working with unit fractions, ensure that pupils explain that the denominator is always e.g. 3 times the value of the numerator when fractions are equivalent to e.g. one third. This will focus them on the equivalence and that key relationship.

### Keywords

Numerator - The numerator is the top number in a fraction and shows how many parts we have.

Denominator - The denominator is the bottom number in a fraction and shows how many equal parts the whole has been divided into.

Equivalent fraction - Equivalent fractions are fractions which have the same value, even though they may look different.

Scale/scaling - Scaling is when a quantity is made ___ times the size.

### 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

$${2}\over{4}$$ -

$${1}\over{2}$$

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

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

$${2}\over{6}$$ -

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

$${2}\over{10}$$ -

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