Numbers are equivalent if they have exactly the same value.

When one whole is divided into 10 equal parts, each part is one tenth. This can be expressed as a fraction or as a decimal.

When one whole is divided into 100 equal parts, each part is one hundredth. This can be expressed as a fraction or as a decimal.

Use knowledge of common equivalents to compare fractions and decimals

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

How could you write this decimal as a fraction? The decimal is 0.04

How could you write this decimal as a fraction? The decimal is 0.75

Match the fraction with the equivalent decimal.

It is because 3 is not a factor of 10 or 100

Why is $${1}\over{3}$$ more difficult to convert to a decimal?

Which pair of fractions and decimals is equivalent?

Which symbol would go between this fraction and decimal?

What is 100 divided into four equal parts? Each part is equal to {{ }}

What is 1,000 divided into five equal parts? Each part is equal to {{ }}

What is 10 divided into five equal parts? Each part is equal to {{ }}

10 divided into five equal parts is the same as saying ___

Which equation would you use to calculate 1,000 divided into four equal parts?

Match the statements to the equations they represent.

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

Use knowledge of common equivalents to compare fractions and decimals

Lesson outcome

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