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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:  

down

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.

 

It can be calculated immediately with a calculator, but can also be found manually by division.

 

Example
7 2.0000    
- 1.4   7 × 0.2
  0.60    
- 0.56   7 × 0.08
  0.040    
- 0.035   7 × 0.005
  0.0050    
- 0.0049   7 × 0.0007
  0.00010    
- 0.00007   7 × 0.00001
    Adding   0.28571

 

2 ÷ 7 = 0.28571...


0.286 (3 d.p.).

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
  • Question 2

Change the following fraction to a decimal.

3
8
  =
CORRECT ANSWER
0.375
  • Question 3

Change the following fraction to a decimal.

10
25
  =
CORRECT ANSWER
0.4
  • Question 4

Change the following fraction to a decimal.

9
2
 =
CORRECT ANSWER
4.5
  • Question 5

Change the following fraction to a decimal.

4
25
 =
CORRECT ANSWER
0.16
  • Question 6

Change the following fraction to a decimal.

17
15
 =

 

Give your answer to 3 dps.

CORRECT ANSWER
1.133
  • Question 7

Change the following fraction to a decimal.

5
8
 =
CORRECT ANSWER
0.625
  • Question 8

Change the following fraction to a decimal.

14
24
 =

 

Give your answer to 3 dps.

CORRECT ANSWER
0.583
  • Question 9

Change the following fraction to a decimal.

7
8
 =
CORRECT ANSWER
0.875
  • Question 10

Change the following fraction to a decimal.

12
18
 =

 

Give your answer to 3 dps.

CORRECT ANSWER
0.667
---- OR ----

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