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 |
![](g11.gif) |
![](g11.gif) |
100 |
20 |
The answer is |
7 |
. |
![](r11.gif) |
20 |
Fraction to Percentage
What is |
11 |
as a percentage? |
![](b11.gif) |
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% |
![](g11.gif) |
![](g11.gif) |
25 |
100 |
The answer is 44%.
Practice Questions
Work out the answer to each of these questions then click on the button marked
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? |
![](b11.gif) |
50 |
 
Exercises
Work out the answers to the questions below and fill in the boxes. Click on the
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
to see
the answer.
You have now completed Unit 17 Section 4
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