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Now, multiply the numerator and the denominator by 100 While converting a number and
or write the fractions as the equivalent fractions with the Note: a quantity into percentage, we
denominator 100. replace 1 with the symbol %.
1 100
And then replace with the symbol %.
100
×
15 100 1500 1
Therefore, = ×
20 100 20 100
×
1 Quick Check
= 75 × = 75%
100 A necklace with twenty
×
18 100 = 1800 × 1 beads that has 8 red
25 100 25 100 and 12 green beads
×
1 out of 20. What is the
= 72 × = 72% percentage of red and
100 green colour beads in
Thus, you scored 75% and Minki scored 72%. the necklace?

Hence, you scored more marks than Minki.
Conversion

Converting Fractions into Percentages

To convert a fraction into a percentage, multiply the given fraction by 100 and put the symbol ‘%’.

Example 1: Convert each of the following fractions into percentages.

34 3 8 5 1
(a) (b) (c) (d) (e)
100 4 50 20 3
Solution: We have,
34  34  3  3 
(a) =  × 100 % = 34% (b) =  × 100 % = 75%


100  100  4  4 
8  8  5  5 
(c) =  × 100 % = 16% (d) =  × 100 % = 25%


50  50  20  20 
 1  100 1
(e)   3 × 100 % = 3 % = 33 %


3
Example 2: Vani has a collection of bangles. She has 20 golden coloured bangles and 10 silver
coloured bangles. What is the percentage of each type of bangle?
Solution: We have,
Number of golden bangles = 20 Think and Answer
Number of silver bangles = 10
Nakul receives `50 as a pocket
Total bangles = 30 money from his father every
20 week and he spends `28. What
Therefore, the percentage of golden bangles = × 100 = 66 66.%
30 is the percentage of the pocket

10 money that he saved?
and the percentage of silver bangles = × 100 = 33 33.%
30

219 Percentage and Its Applications