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Convert Fractions to Decimals Using Division (1)

In this worksheet, students use division to convert simple fractions into their decimal equivalents.

'Convert Fractions to Decimals Using Division (1)' worksheet

Key stage:  KS 2

Year:  Year 4 11+ worksheets

Curriculum topic:   Maths and Numerical Reasoning

Curriculum subtopic:   Decimals

Difficulty level:  

Worksheet Overview

The fraction ½ can also be written as the decimal 0.5.

Any fraction can be written as a decimal.

This worksheet shows how to convert a simple fraction to its decimal equivalent.

 

The fraction ½ can be read to mean 1 whole divided into 2 parts, i.e. 1 ÷ 2.

We can divide 1 by 2, in a division calculation, but first we change 1 to 1.0.

This is to give more space to carry out the division, so that we can put remainders in the division.

This shows that ½ = 1 ÷ 2 = 0.5.

 

Example

Change the fraction 3/8 to a decimal.

 

Answer

3/8 is the same as 3 ÷ 8.

Here we change 3 to 3.000 to allow space for remainders when we divide.

The answer is 0.375

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