 # Convert Fractions to Decimals Using Division (2)

In this worksheet, students use division to convert simple fractions into their decimal equivalents. Key stage:  KS 2

Curriculum topic:   Number: Fractions, Decimals and Percentages

Curriculum subtopic:   Calculate Fraction-Decimal Equivalents

Difficulty level:   ### QUESTION 1 of 10

Remember that 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 into 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.

3/8 is the same as 3 ÷ 8.

Here we change 3 to 3.000 to allow space for remainders when we divide. Change the following fraction to a decimal by dividing the top number by the bottom number.

 1 8

Change the following fraction to a decimal by dividing the top number by the bottom number.

 9 12

Change the following fraction to a decimal by dividing the top number by the bottom number.

 2 8

Change the following fraction to a decimal by dividing the top number by the bottom number.

 4 8

Change the following fraction to a decimal by dividing the top number by the bottom number.

 5 8

Change the following fraction to a decimal by dividing the top number by the bottom number.

 7 8

Change the following fraction to a decimal by dividing the top number by the bottom number.

 9 20

Change the following fraction to a decimal by dividing the top number by the bottom number.

 7 20

Change the following fraction to a decimal by dividing the top number by the bottom number.

 8 25

Change the following fraction to a decimal by dividing the top number by the bottom number.

 7 40
• Question 1

Change the following fraction to a decimal by dividing the top number by the bottom number.

 1 8
0.125
EDDIE SAYS
Divide 1.000 ÷ 8 = 1 rem 2 and bring down the 0 Divide 20 ÷ 8 = 2 rem 4 and bring down the 0 Divide 40 ÷ 8 = 5 Answer: 0.125
• Question 2

Change the following fraction to a decimal by dividing the top number by the bottom number.

 9 12
0.75
EDDIE SAYS
Divide 9.00 ÷ 12 = 7 rem 6 and bring down the 0 Divide 60 ÷ 12 = 5 Answer: 0.75
• Question 3

Change the following fraction to a decimal by dividing the top number by the bottom number.

 2 8
0.25
EDDIE SAYS
Divide 2.00 ÷ 8 = 2 rem 4 and bring down the 0 Divide 40 ÷ 8 = 5 Answer: 0.25
• Question 4

Change the following fraction to a decimal by dividing the top number by the bottom number.

 4 8
0.5
EDDIE SAYS
4/8 = 1/2 = 0.5
• Question 5

Change the following fraction to a decimal by dividing the top number by the bottom number.

 5 8
0.625
EDDIE SAYS
Divide 5.000 ÷ 8 = 6 rem 2 and bring down the 0 Divide 20 ÷ 8 = 2 rem 4 and bring down the 0 Divide 40 ÷ 8 = 5 Answer: 0.625
• Question 6

Change the following fraction to a decimal by dividing the top number by the bottom number.

 7 8
0.875
EDDIE SAYS
Divide 7.000 ÷ 8 = 8 rem 6 and bring down the 0 Divide 60 ÷ 8 = 7 rem 4 and bring down the 0 Divide 40 ÷ 8 = 5 Answer: 0.875
• Question 7

Change the following fraction to a decimal by dividing the top number by the bottom number.

 9 20
0.45
EDDIE SAYS
Divide 9.00 ÷ 20 = 4 rem 10 and bring down the 0 Divide 100 ÷ 20 = 5 Answer: 0.45
• Question 8

Change the following fraction to a decimal by dividing the top number by the bottom number.

 7 20
0.35
EDDIE SAYS
Divide 7.00 ÷ 20 = 3 rem 10 and bring down the 0 Divide 100 ÷ 20 = 5 Answer: 0.35
• Question 9

Change the following fraction to a decimal by dividing the top number by the bottom number.

 8 25
0.32
EDDIE SAYS
Divide 8.00 ÷ 25 = 3 rem 5 and bring down the 0 Divide 50 ÷ 25 = 2 Answer: 0.32
• Question 10

Change the following fraction to a decimal by dividing the top number by the bottom number.

 7 40
0.175
EDDIE SAYS
Divide 7.000 ÷ 40 = 1 rem 30 and bring down the 0 Divide 300 ÷ 40 = 7 rem 20 and bring down the 0 Divide 200 ÷ 40 = 5 Answer: 0.175
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