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

The magnitude of something refers to the size of something.

To be efficient means finding a way to solve a problem quickly whilst also maintaining accuracy.

Explain which strategy for comparing non-related fractions is most efficient

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

To complete a calculation efficiently means to calculate it __________.

Use reasoning to compare these two fractions: $$ {3} \over {12}$$ ___ $$ {7} \over {8}$$

Use reasoning to compare these two fractions: $$ {6} \over {10}$$ ___ $$ {7} \over {10}$$

Use reasoning to compare these two fractions: $$ {8} \over {6}$$ ___ $$ {8} \over {10}$$

Use reasoning to compare these two fractions: $$ {2} \over {3}$$ ___ $$ {4} \over {5}$$

Use reasoning to compare these two fractions: $$ {3} \over {8}$$ ___ $$ {5} \over {12}$$

If the numerator is half the size of the denominator, we can say that the fraction is __________.

Tick the fractions greater than one half.

Compare these two fractions: $$ {4} \over {7}$$ ___ $$ {5} \over {8}$$

Order the fractions from largest to smallest.

Compare these two fractions: $$ {5} \over {6}$$ ___ $$ {6} \over {7}$$

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

Explain which strategy for comparing non-related fractions is most efficient

Lesson outcome

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