New

Year 5

Use the relationship between the numerator and denominator in equivalent fractions to solve problems

I can use the relationship between the numerator and denominator in equivalent fractions to solve problems

Download all resources

Share activities with pupils

New

Year 5

Use the relationship between the numerator and denominator in equivalent fractions to solve problems

I can use the relationship between the numerator and denominator in equivalent fractions to solve problems

Download all resources

Share activities with pupils

These resources will be removed by end of Summer Term 2025.

Switch to our new teaching resources now - designed by teachers and leading subject experts, and tested in classrooms.

View new resources

Slide deck

Download slide deck

Skip slide deck

Lesson details

Key learning points

If the multiplicative relationship between the numerator and denominator is the same, the fractions will be equivalent
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

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.
Proportion - The proportion of a number, shape or group of objects is a part of the whole.

Common misconception

Children need to understand that equivalent fractions must be part of the same whole and that they can be represented as parts of a whole or as a number with a unique position on the number line.

Use the stem sentences to draw attention to how we describe equivalence and use representations to support this. Be clear about when the representation is showing a part of a whole and when it is labelling a point on a number line.

Remind children that the whole has to be the same when we are describing equivalent fractions. Encourage discussion, drawing on stem sentences and generalisations, to give opportunities for children to describe and identify equivalent fractions throughout the lesson and in the game in the task.

Teacher tip

Licence

This content is © Oak National Academy Limited (2025), licensed on

Open Government Licence version 3.0

except where otherwise stated. See Oak's terms & conditions (Collection 2).

Lesson video

Skip lesson video

Worksheet

Download worksheet

Skip worksheet

Starter quiz

Download starter quiz

6 Questions

Q1.

Order these fractions from the smallest to the largest

1 - $${1}\over{7}$$

2 - $${2}\over{7}$$

3 - $${3}\over{7}$$

4 - $${4}\over{7}$$

5 - $${5}\over{7}$$

Q2.

Order these fractions from the largest to the smallest

1 - $${3}\over{4}$$

2 - $${3}\over{5}$$

3 - $${3}\over{6}$$

4 - $${3}\over{7}$$

5 - $${3}\over{8}$$

Q3.

Match the statements to make the sentences correct.

Correct Answer:1 is the same proportion of 2 as,4 is of 8

4 is of 8

Correct Answer:3 is the same proportion of 9 as,1 is of 3

1 is of 3

Correct Answer:1 is the same proportion of 4 as,3 is of 12

3 is of 12

Correct Answer:2 is the same proportion of 5 as,4 is of 10

4 is of 10

Q4.

Which fractions are equivalent to $${1}\over{7}$$?

Correct answer: $${2}\over{14}$$

$${4}\over{10}$$

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

Correct answer: $${11}\over{77}$$

Q5.

Which of these fractions are less than $${1}\over{2}$$?

$${2}\over{3}$$

Correct answer: $${2}\over{4}$$

$${3}\over{4}$$

Correct answer: $${3}\over{6}$$

Q6.

Which fractions are greater than $${1}\over{3}$$?

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

Correct answer: $${2}\over{4}$$

Correct answer: $${2}\over{5}$$

$${2}\over{7}$$

Exit quiz

Download exit quiz

6 Questions

Q1.

What is the missing denominator in this pair of equivalent fractions?

Correct Answer: 30, thirty

Q2.

What is the missing numerator in this pair of equivalent fractions?

Correct Answer: 5, five

Q3.

What is the missing numerator in this pair of equivalent fractions?

Correct Answer: 1, one, won

Q4.

The same number is the missing numerator in one fraction and the denominator in the other fraction. What is the missing number?

Correct Answer: 8, eight, ate

Q5.

Match the pairs of equivalent fractions.

Correct Answer:$${1}\over {7}$$,$${4}\over {28}$$

$${4}\over {28}$$

Correct Answer:$${1}\over {10}$$,$${4}\over {40}$$

$${4}\over {40}$$

Correct Answer:$${4}\over {8}$$,$${40}\over {80}$$

$${40}\over {80}$$

Correct Answer:$${2}\over {6}$$,$${4}\over {12}$$

$${4}\over {12}$$

Q6.

Which of these statements are correct?

$${2}\over{12}$$ > $${1}\over{6}$$

Correct answer: $${6}\over{24}$$ < $${1}\over{2}$$

$${4}\over{12}$$ = $${8}\over{16}$$

Correct answer: $${4}\over{12}$$ = $${8}\over{24}$$

Additional material

Download additional material