 # Convert Fractions to Decimals Using Division (1)

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

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.

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 4

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

 1 5

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

 2 5

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

 3 5

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

 4 5

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

 3 4

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

 4 10

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.

 7 10

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

 6 8
• Question 1

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

 1 4
0.25
EDDIE SAYS
Divide 1.00 ÷ 4 = 2 rem 2 and bring down the 0 Divide 20 ÷ 4 = 5 Answer: 0.25
• Question 2

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

 1 5
0.2
EDDIE SAYS
Divide 1.0 ÷ 5 = 2 Answer: 0.2
• Question 3

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

 2 5
0.4
EDDIE SAYS
Divide 2.00 ÷ 5 = 4 and bring down the 0 Divide 0 ÷ 5 = 0 Answer: 0.4
• Question 4

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

 3 5
0.6
EDDIE SAYS
Divide 3.0 ÷ 5 = 6 Answer: 0.6
• Question 5

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

 4 5
0.8
EDDIE SAYS
Divide 4.0 ÷ 5 = 8 Answer: 0.8
• Question 6

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

 3 4
0.75
EDDIE SAYS
Divide 3.00 ÷ 4 = 7 rem 2 and bring down the 0 Divide 20 ÷ 4 = 5 Answer: 0.75
• Question 7

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

 4 10
0.4
EDDIE SAYS
4/10 = 0.4
• Question 8

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

 2 8
0.25
EDDIE SAYS
2/8 = 1/4 = 0.25
• Question 9

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

 7 10
0.7
EDDIE SAYS
7/10 = 0.7
• Question 10

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

 6 8
0.75
EDDIE SAYS
6/8 = 3/4 = 0.75
---- OR ----

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