Page 110 - Math Skill - 5

108 Maths

Let’s Attempt

Example: Express each of the following percentage into fraction and decimal.
1
(a) 50% (b) 40% (c) 3 %
4
50 1 40 2
Solution: (a) 50% = = = 0.5 (b) 40% = = = 0.4
100 2 100 5
1 13 13 1 13
(c) 3 % = % = × = = 0.0325
4 4 4 100 400

Converting a Fraction into Percentage

We convert the fractions with denominator 100 by just putting Fact-o-meter
% symbol to the right of the numerator and removing the If the denominator is
denominator. other than 100, we can
form equivalent fraction
26 72
For example, = 26% = 72% with denominator 100.
100 100
To convert a fraction having denominator other than 100 into percentage, we multiply the
given fraction by 100 and put % symbol.

Let’s learn through examples.

Let’s Attempt

Example: Convert each of the following fractions into percentage.

18 7
(a) (b) 2
25 10

 18 
7


Solution: (a)  25 × 100 % = 72% (b)  2 10 × 100 % =  27 × 100 % = 270%
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






10



Alternative Approach Alternative Approach
18 4× = 72 = 72% 2 7 = 27 = 27 10× = 270 = 270%
25 4× 100 10 10 10 10× 100
Exercise 8.1
1. Express each of the following as a fraction in its lowest term.
2
(a) 30% (b) 18 % (c) 85% (d) 75% (e) 40%
3
1 1
(f) 9 % (g) 2% (h) 8 % (i) 48% (j) 225%
2 3