Page 85 - New Medley 5 Semester 2

Again, we consider the above fractions in a different way to convert them
1 1 100 1
into percentages. Here, we also have = × = × 100% = 50%, so
2 2 100 2

we can say that we multiply a fraction by 100 to convert it into percentage.

1 1 100 1
\ = × 100% = % = 33 %
3 3 3 3

Example 1: Convert the following into percentages.

4 13 5 13
(a) (b) (c) (d)
5 40 7 15

4  4 20 
Solution: (a) =  × 100 % = 80%
5  5 1 


13  13 5  65 1
(b) =  × 100 % = % = 32 %
40  40 2  2 2


5  5  500 3

(c) =  × 100 % = % = 71 %
7  7  7 7

13  13 20  260 2
(d) =  × 100 % = % = 86 %
15  15 3  3 3


Converting Percentages into Fractions

Think about 45%. We know, 45% means 45 out of 100.

9
45 45 9
\ 45% = = =
100 100 20 20

Thus, to convert percentage into fraction, write the percentage as a

fraction with denominator 100 by removing % symbol and hence reduce
it to its simplest terms.

Example 2: Convert the following percentages into fractions.

2
(a) 60% (b) 85% (c) 16 %
3

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