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To convert a fraction into a percentage; we need to multiply the fraction by 100 and add the percent symbol after the product..
Let us consider how to change a fraction to a percent
(i) 42/100
= 42%
(ii) 73/100
= 73%
(iii) 6/100
= 6%
(iv) 15/100
= 15%
(v) 39/100
= 39%
(vi) 11/100
= 11%
Convert a Fraction into a Percentage Video
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EXPRESSING A FRACTION AS PER CENT
To express a fraction as a per cent, we change the fraction into the equivalent fraction with denominator as 100. Then we express the fraction as a per cent by using the symbol %.
Let us consider some examples.
1. Express \(\frac{3}{5}\) as a per cent.
Solution:
\(\frac{3}{5}\)
= \(\frac{3 × 20}{5 × 20}\)
(We multiply the numerator and the denominator both by 20 to make the denominator 100.)
= \(\frac{60}{100}\)
= 60 × \(\frac{1}{100}\)
= 60%
2. Express 2\(\frac{1}{4}\) as per cent
Solution:
2\(\frac{1}{4}\)
= \(\frac{9}{4}\)
= \(\frac{9 × 25}{4 × 25}\)
(We multiply the numerator and the denominator both by 25 to make the denominator 100.)
= \(\frac{225}{100}\)
= 225 × \(\frac{1}{100}\)
= 225%
We multiply the numerator and the denominator both by 25.
We can also express a fraction as a per cent simply by multiplying it by 100 and writing % to the right of it.
For example:
(i) Express 3/4 as a percent.
Solution:
¾ × 100
= (3 × 100)/4
= 300/4
= 300/4 ÷ 4/4
[Divide the numerator and denominator by 4]
= 75%.
Answer: 75%
(ii) Express 12/5 as a percent.
Solution:
12/5 × 100
= (12 × 100)/5
= 1200/5
= 1200/5 ÷ 5/5
[Divide the numerator and denominator by 5]
= 240%.
Answer: 240%
(iii) Express 13/6 as a percent.
Solution:
13/6 × 100
= (13 × 100)/6
= 1300/6
= 1300/6 ÷ 2/2
[Divide the numerator and denominator by 2]
= 650/3
= 216 2/3%
Answer: 216 2/3%
(iv) Express 19/4 as a percent.
Solution:
19/4 × 100
= (19 × 100)/4 = 1900/4
= 1900/4 ÷ 4/4
[Divide the numerator and denominator by 4]
= 475%.
Answer: 475%
(v) Express 27/2 as a percent.
Solution:
27/2 × 100
= (27 × 100)/2
= 2700/2
= 2700/2 ÷ 2/2
[Divide the numerator and denominator by 2]
= 1350%.
Answer: 1350%
(vi) Express \(\frac{9}{25}\) as a percent.
Solution:
\(\frac{9}{25}\)
= \(\frac{9}{25}\) × 100%
= \(\frac{9 × 100}{25}\)%
= \(\frac{900}{25}\)%
= 36%
(vii) Express \(\frac{1}{4}\) as a percent.
Solution:
\(\frac{1}{4}\)
= \(\frac{1}{4}\) × 100%
= \(\frac{1 × 100}{4}\)%
= \(\frac{100}{4}\)%
= 25%
(viiI) Express 2\(\frac{3}{4}\) as a percent.
Solution:
2\(\frac{3}{4}\)
= \(\frac{11}{4}\) × 100%
= \(\frac{11 × 100}{4}\)%
= \(\frac{1100}{4}\)%
= 275%
Note: You may think that expressions 235% 275%, 105% etc have no meaning because no one can get more than 100 marks out of 100. It is true but one can earn $ 235, $ 275 or $ 105 per $ 100. If you purchase a watch for $ 100 and sell it for $ 235, you earn 135% profit.
Converting Fractions to Percents Short Video
Worksheet on To Convert a Fraction into a Percentage
Questions and Answers on Converting Fractions to Percent:
I. Convert the following fractions to percentage.
(i) \(\frac{1}{10}\)
(ii) \(\frac{3}{5}\)
(iii) \(\frac{7}{25}\)
(iv) \(\frac{29}{50}\)
(v) \(\frac{3}{4}\)
(vi) \(\frac{45}{50}\)
Answers:
I. (i) 10%
(ii) 60%
(iii) 28%
(iv) 58%
(v) 75%
(vi) 90%
To Convert a Percentage into a Fraction
To Convert a Fraction into a Percentage
To find the percent of a given number
To find what Per cent is one Number of another Number
To Calculate a Number when its Percentage is Known
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