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Lesson 1 of 5
  • Year 6

Explain how to compare non-related fractions finding equivalent fractions with common denominators

I can use equivalent fractions with common denominators to compare non-related fractions

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Lesson 1 of 5
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  • Year 6

Explain how to compare non-related fractions finding equivalent fractions with common denominators

I can use equivalent fractions with common denominators to compare non-related fractions

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Share activities with pupils

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Lesson details

Key learning points

  1. You can use knowledge of common multiples to convert fractions to an equivalent with a common denominator.
  2. Common denominators for non-related fractions can be found using common multiples of the denominators.
  3. If the denominators are the same, the greater the numerator, the larger the fraction.
  4. If the denominators are the same, the smaller the numerator, the smaller the fraction.

Keywords

  • Portion - A portion is a part of a whole.

  • Common denominator - When two or more fractions share the same denominator, you can say they have a common denominator.

  • Related fractions - Related fractions are when the denominator of one fraction is a multiple of the denominator of the other fraction.

Common misconception

Pupils try to compare fractions where the whole is not the same size.

Give an example where fractions represent different sized wholes. Discuss how fractions may not help us compare the area used/shaded if the wholes are different. Instead, highlight the show the relationship between the whole and its part(s).


To help you plan your year 6 maths lesson on: Explain how to compare non-related fractions finding equivalent fractions with common denominators, download all teaching resources for free and adapt to suit your pupils' needs...

Continue to represent the fractions on a number line when comparing them to further consolidate pupils' understanding of their position and equivalence in comparison to other fractions.
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

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Prior knowledge starter quiz

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6 Questions

Q1.
20 is a common multiple of:

Correct answer: 1 and 2
2 and 3
3 and 4
Correct answer: 4 and 5
5 and 6

Q2.
Tick the pairs of related fractions.

$$ {1} \over {3}$$ $$ {5} \over {16}$$
Correct answer: $$ {1} \over {6}$$ $$ {3} \over {12}$$
$$ {3} \over {2}$$ $$ {4} \over {15}$$
Correct answer: $$ {1} \over {5}$$ $$ {1} \over {10}$$

Q3.
Two or more fractions where the denominators are not multiples of each other are known as:

common denominators.
related fractions.
Correct answer: non-related fractions.
uncommon multiples.

Q4.
Use the correct symbol to compare these two fractions: $$ {2} \over {7}$$ ___ $$ {2} \over {3}$$

Correct answer: <
>
=

Q5.
What fraction of the whole has been shaded?

An image in a quiz
Correct answer: $$ {2} \over {5}$$
$$ {2} \over {9}$$
$$ {6} \over {9}$$
Correct answer: $$ {6} \over {15}$$
$$ {2} \over {3}$$

Q6.
Tick the correct solution for $$ {2} \over {5}$$ + $$ {3} \over {8}$$ =

$$ {5} \over {13}$$
$$ {6} \over {13}$$
$$ {6} \over {40}$$
Correct answer: $$ {31} \over {40}$$

Assessment exit quiz

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6 Questions

Q1.
Use the correct symbol to compare: $$ {7} \over {15}$$ ___ $$ {5} \over {15}$$

<
Correct answer: >
=

Q2.
Use the correct symbol to compare: $$ 1 {{2} \over {5}}$$ ___ $$ {7} \over {5}$$

<
>
Correct answer: =

Q3.
The whole is the same in each image. Which image has the greatest proportion of the whole shaded?

A
B
Correct answer: C

Q4.
Look closely at each image. Which fractional values can be compared?

An image in a quiz
A and B
B and C
Correct answer: A and D
B and D
C and D

Q5.
Use the correct symbol to compare: $$ {5} \over {7}$$ ___ $$ {2} \over {3}$$

<
Correct answer: >
=

Q6.
Use the correct symbol to compare: $$ 1 {{1} \over {5}}$$ ___ $$ 1 {{2} \over {11}}$$

<
Correct answer: >
=