Unit 17 Section 4 : Decimals, Fractions and Percentages

In this section we focus on converting between fractions, decimals and percentages.

Example Questions

Percentage to Decimal

What is 34% as a decimal?

To convert a percentage to a decimal, we divide by 100%:
      34% ÷ 100% = 0.34
(you should be able to see that the decimal point has moved two places to the left, and the percentage sign has been removed)

The answer is 0.34.

Decimal to Percentage

What is 0.65 as a percentage?

To convert a decimal to a percentage, we multiply by 100%:
      0.65 × 100% = 65%
(you should be able to see that the decimal point has moved two places to the right, and the percentage sign has been added)

The answer is 65%.

Percentage to Fraction

What is 35% as a fraction?

To convert a percentage to a fraction, we write the number as a fraction over 100 and simplify the answer.
       35  =  7
100 20

The answer is  7 .
20

Fraction to Percentage

What is  11  as a percentage?
25

To convert a fraction to a percentage, you need to find an equivalent fraction where the bottom number (denominator) is 100, and then the top number (numerator) will be the percentage. In this case we need to multiply both parts of the fraction by 4 to make the bottom number 100.
       11  =  44  = 44%
25 100

The answer is 44%.

 

Practice Questions

Work out the answer to each of these questions then click on the button marked Click on this button below to see the correct answer to see whether you are correct.

(a) What is 61% as a decimal?

(b) What is 0.08 as a percentage?

(c) What is 80% as a fraction?

(d) What is  37  as a percentage?
50

 

Exercises

Work out the answers to the questions below and fill in the boxes. Click on the Click this button to see if you are correct button to find out whether you have answered correctly. If you are right then will appear and you should move on to the next question. If appears then your answer is wrong. Click on to clear your original answer and have another go. If you can't work out the right answer then click on Click on this button to see the correct answer to see the answer.

Question 1
Write these percentages as decimals:
(a) 42%
(b) 37%
(c) 20%
(d) 5%
(e) 8%
(f) 10%
(g) 22%      
(h) 3%
(i) 15%
Question 2
Write these decimals as percentages:
(a) 0.14 %
(b) 0.72       %
(c) 0.55 %
(d) 0.4 %
(e) 0.03 %
(f) 0.9 %
(g) 0.18 %
(h) 0.04 %
(i) 0.7 %
Question 3
Write these percentages as fractions in their simplest form:
(a) 50%      
(b) 30%
(c) 80%
(d) 70%
(e) 15%
(f) 25%
(g) 64%
(h) 98%
(i) 56%
Question 4
Write these fractions as percentages:
(a)
7
100
        %
(b)
18
100
 %
(c)
3
50
 %
(d)
17
50
 %
(e)
3
20
 %
(f)
7
25
 %
(g)
3
5
 %
(h)
7
10
 %
(i)
3
4
 %
Question 5
Fill in the gaps in the following table (simplify any fraction answers):

            Fraction                         Decimal                         Percentage            
0.04%
      


      
10%
1
2
      
%
      


      
45%
7
50
      
%
      

0.84 %
      

Question 6
There are 200 children in a school hall, eating lunch. Of these children, 124 have chosen chips as part of their lunch.

(a) What fraction of the children have chosen chips? (make sure you simplify the fraction)

(b) What percentage of the children have chosen chips?
%

(c) What percentage of the children have not chosen chips?
%

You have now completed Unit 17 Section 4
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