# 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)

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)

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

## 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? 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.

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
 Your overall score for this section is Correct Answers You answered questions correctly out of the questions in this section. Incorrect Answers There were questions where you used the Tell Me button. There were questions with wrong answers. There were questions you didn't attempt.
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