Fractions And Percentages Worksheet
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28MEP Pupil Text 11
11
Fractions and Percentages
11.1 Fractions, Decimals and Percentages
Percentages can be converted to fractions because 'percentage' simply means 'per hundred'.
They can also be converted very easily to decimals, which can be useful when using a
calculator. Fractions and decimals can also be converted back to percentages.
Worked Example 1
Convert each of the following percentages to fractions.
(a)
50%
(b)
40%
(c)
8%
Solution
50
40
8
% =
% =
% =
(a)
50
(b)
40
(c)
8
100
100
100
1
2
2
=
=
=
2
5
25
Worked Example 2
Convert each of the following percentages to decimals.
(a)
60%
(b)
72%
(c)
6%
Solution
60
72
6
=
=
=
(a)
60%
(b)
72%
(c)
6%
100
100
100
= 0 6 .
= 0 72
= 0 06
.
.
Worked Example 3
Convert each of the following decimals to percentages.
(a)
0.04
(b)
0.65
(c)
0.9
Solution
4
65
9
=
=
=
(a)
0.04
(b)
0.65
(c)
0.9
100
100
10
90
= 4%
= 65%
=
100
= 90%
Information
'Per cent' comes from the Latin , 'per centum', which means 'for each hundred'.
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