# Explain the relationship between numerators and denominators in equivalent fractions

I can explain the relationship between the numerators and denominators in equivalent fractions

# Explain the relationship between numerators and denominators in equivalent fractions

I can explain the relationship between the numerators and denominators in equivalent fractions

## Slide deck

## Lesson details

### Key learning points

- Equivalent fractions share the same multiplicative relationship between the numerator and denominator.
- If a fraction is equivalent to a half, the numerator will be half the value of the denominator.
- If a fraction is equivalent to fifth, the denominator will be 5 times the value of the numerator.

### Common misconception

Children do not always see the link between the numerator and the denominator in equivalent fractions. This lesson highlights that link and the fact that the proportion of the whole is the same.

Use the stem sentences and generalisations in the lesson to describe the fractions and to relate them to the representations used.

### 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.

### 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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## Worksheet

## Starter quiz

### 6 Questions

1 is the same proportion of 2 as -

2 is of 4

1 is the same proportion of 3 as -

2 is of 6

1 is the same proportion of 4 as -

2 is of 8

1 is the same proportion of 5 as -

2 is of 10

## Exit quiz

### 6 Questions

The numerator -

increases by 1 each time.

The denominator -

is always a multiple of 4

The numerator is -

the top number in the fraction.

The denominator is -

the bottom number in the fraction.

Fractions equivalent to $${1}\over{5}$$ -

The denominator is 5 times the value of the numerator.

Fractions equivalent to $${1}\over{3}$$ -

The denominator is 3 times the value of the numerator.

Fractions equivalent to $${1}\over{4}$$ -

The denominator is 4 times the value of the numerator.

Fractions equivalent to $${1}\over{6}$$ -

The denominator is 6 times the value of the numerator.