Equivalent fractions are fractions which have the same value, even though they may look different. They describe the same part or proportion of the whole

To simplify a fraction is to identify the highest common factor shared by the numerator and denominator and to scale down both by that factor.

To scale up or down is to multiply or divide by a given number or factor.

Use understanding of equivalent fractions to solve problems

Maths

In this unit pupils will use representations to describe and compare two fractions. They will  explain the relationship within families of equivalent fractions and use their knowledge of common equivalents to compare fractions with decimals. In the future unit pupils will explain how to write a fraction in its simplest form when solving addition and subtraction problems. 

In the prior unit pupils will find unit and non-unit fractions of whole numbers and explore parts and wholes. In this unit pupils will use representations to describe and compare two fractions. They will  explain the relationship within families of equivalent fractions and use their knowledge of common equivalents to compare fractions with decimals.

Comparing fractions using equivalence and decimals

Match the fractions to their simplest form.

Which numbers complete these equivalent fractions? Match the letter to the missing number.

Order the fractions from the smallest to the largest

Which number can be used to complete both fractions so that they are equivalent proper fractions?

What are the common factors of 12 and 20?

Which number is the missing denominator in this pair of equivalent fractions?

Which number is the missing numerator in this pair of equivalent fractions?

What is the highest factor which is common to the numerator and denominator in the fraction $${9}\over{15}$$

Yes because the denominator is an odd number and the numerator is even.

No because the numerator and denominator both share a factor greater than 1

Is the fraction $${6}\over{9}$$ written in its simplest form?

What is $${6}\over{9}$$ written in its simplest form?

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

Use understanding of equivalent fractions to solve problems

Lesson outcome

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