The magnitude of something refers to the size of something.

Explain how to compare pairs of non-related fractions using fraction sense

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

The magnitude of a fraction can also be known as the {{ }} of a fraction.

Compare these two fractions: $$ {2} \over {6}$$ ___ $$ {4} \over {6}$$

Compare these two fractions: $$ {3} \over {7}$$ ___ $$ {3} \over {9}$$

Compare these two fractions: $$ {2} \over {3}$$ ___ $$ {3} \over {7}$$

Compare these two fractions: $$ {5} \over {6}$$ ___ $$ {9} \over {10}$$

Compare these two fractions: $$ {5} \over {7}$$ ___ $$ {7} \over {9}$$

Tick the fractions greater than one half.

Two or more fractions can only be compared when:

Which letter represents the best estimate for where one-fifth sits on the number line?

Order the fractions from largest to smallest.

Use the correct symbol to compare: $$ {4} \over {8}$$ ___ $$ {3} \over {10}$$

Use the correct symbol to compare: $$ 1 {{1} \over {5}}$$ ___ $$ 1 {{1} \over {6}}$$

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

Explain how to compare pairs of non-related fractions using fraction sense

Lesson outcome

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