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

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

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

Maths

 In this unit pupils will use fraction sense to fraction addition, subtraction and comparison, explaining how to compare pairs of non-related fractions by converting to common denominators or using fraction sense. In the future unit pupils will learn how to multiply 2 unit fractions and 2 non-unit fractions They will learn how to divide a unit fraction and a non-unit fraction by a whole number 

In the prior unit pupils explained how to write a fraction in its simplest form when solving addition and subtraction problems and added and subtracted related fractions. In this unit pupils will use their fraction sense to fraction addition, subtraction and comparison explaining how to compare pairs of non-related fractions by converting to common denominators and using fraction sense.

Comparing fractions

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

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

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

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

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

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

$$ {1} \over {3}$$    $$ {5} \over {16}$$ 

$$ {1} \over {6}$$    $$ {3} \over {12}$$

$$ {3} \over {2}$$    $$ {4} \over {15}$$

$$ {1} \over {5}$$    $$ {1} \over {10}$$

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

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

What fraction of the whole has been shaded?

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

This lesson will be removed by end of Summer Term 2025.

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

Lesson outcome

This lesson will be removed by end of Summer Term 2025.