Converting Fractions To Percentages, Converting Decimals To Percentages, Plotting Numbers On A Number Line Worksheet Page 9
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PERCENTAGE (Chapter 14)
Self Tutor
Example 5
Express 2:5% as a fraction
2:5%
in lowest terms.
2:5
=
100
2:5£10
=
fto remove the decimalg
100£10
25
=
1000
25¥25
=
1000¥25
1
=
40
2
Write as a fraction in lowest terms:
12:5%
7:5%
0:5%
17:3%
a
b
c
d
97:5%
0:2%
0:05%
0:02%
e
f
g
h
D
CONVERTING DECIMALS TO
PERCENTAGES
To write a decimal number as a percentage we multiply it by 100%.
100
Since 100% =
= 1, multiplying by 100% is the same as multiplying by 1. We
100
therefore do not change the value of the number.
Self Tutor
Example 6
Remember that
100% = 1
.
Convert to a percentage by multiplying by 100%:
0:27
0:055
a
b
0:27
0:055
a
b
= 0:27 £ 100%
= 0:055 £ 100%
= 27%
= 5:5%
Another way of converting a fraction to a percentage is to first convert it to a decimal.
Self Tutor
Example 7
Change to percentages by multiplying by 100%:
4
3
a
b
5
4
4
3
a
b
5
4
= 0:8
= 0:75
= 0:8 £ 100%
= 0:75 £ 100%
= 80%
= 75%
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