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Convert Fractions to Decimals

In this worksheet, students practise converting fractions to decimals.

'Convert Fractions to Decimals' worksheet

Key stage:  KS 3

Curriculum topic:  Number

Curriculum subtopic:  Work Interchangeably with Terminating Decimals and Fractions

Difficulty level:  

Worksheet Overview

QUESTION 1 of 10

This worksheet is about converting fractions to decimals.

The fraction  
2
10
    means 2 ÷ 10 and is therefore 0.2 written  as a decimal.
2
7
 written as a decimal is less obvious.

If you got one like this in KS3, you would probably use a calculator to solve it.

Change the following fraction to a decimal.

3
4
  =

Change the following fraction to a decimal.

3
8
  =

Change the following fraction to a decimal.

10
25
  =

Change the following fraction to a decimal.

9
2
 =

Change the following fraction to a decimal.

4
25
 =

Change the following fraction to a decimal.

17
15
 =

 

Give your answer to 3 dps.

Change the following fraction to a decimal.

5
8
 =

Change the following fraction to a decimal.

14
24
 =

 

Give your answer to 3 dps.

Change the following fraction to a decimal.

7
8
 =

Change the following fraction to a decimal.

12
18
 =

 

Give your answer to 3 dps.

  • Question 1

Change the following fraction to a decimal.

3
4
  =
CORRECT ANSWER
0.75
EDDIE SAYS
The easist way to do this if you can't just see it is to start with the number 1, 1 &div: 4 = 0.25 0.25 x 3 = 0.75
  • Question 2

Change the following fraction to a decimal.

3
8
  =
CORRECT ANSWER
0.375
EDDIE SAYS
The easist way to do this if you can't just see it is to start with the number 1, 1 &div: 8 = 0.125 0.125 x 3 = 0.375
  • Question 3

Change the following fraction to a decimal.

10
25
  =
CORRECT ANSWER
0.4
EDDIE SAYS
This can be converted into a a fraction over 100 10/25 = 40/100
  • Question 4

Change the following fraction to a decimal.

9
2
 =
CORRECT ANSWER
4.5
EDDIE SAYS
The easist way to do this if you can't just see it is to start with the number 1, 1 &div: 2 = 0.5 0.5 x 9 = 4.5
  • Question 5

Change the following fraction to a decimal.

4
25
 =
CORRECT ANSWER
0.16
EDDIE SAYS
This can be converted into a fraction over 100 4/25 = 16/100
  • Question 6

Change the following fraction to a decimal.

17
15
 =

 

Give your answer to 3 dps.

CORRECT ANSWER
1.133
EDDIE SAYS
The only method to do this without a calculator is to use long division
  • Question 7

Change the following fraction to a decimal.

5
8
 =
CORRECT ANSWER
0.625
EDDIE SAYS
This is another one where you can change it to a number over 100 5/8 = 125/200 = 62.5/100
  • Question 8

Change the following fraction to a decimal.

14
24
 =

 

Give your answer to 3 dps.

CORRECT ANSWER
0.583
EDDIE SAYS
The only method to complete this without a calculator is to use long division
  • Question 9

Change the following fraction to a decimal.

7
8
 =
CORRECT ANSWER
0.875
EDDIE SAYS
yet another one here that can be changed into a number over 100 7/8 = 175/200 = 87.5/100
  • Question 10

Change the following fraction to a decimal.

12
18
 =

 

Give your answer to 3 dps.

CORRECT ANSWER
0.667
EDDIE SAYS
If we simplify this down first we get 2/3. This is a standard result that you should know. If you can't do it straight away, use long division to find the answer
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