To Convert a Fraction into a Percentage

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%

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%.

(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%.

(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%

(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%.

(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%.

(vi) Express $$\frac{9}{25}$$ as a percent.

Solution:

$$\frac{9}{25}$$ = $$\frac{9}{25}$$ × $$\frac{4}{100}$$

= 9 × 4

= 36%

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) $$\frac{45}{50}$$

I. (i) 10%

(ii) 60%

(iii) 28%

(iv) 58%

(v) 75%

(vi) 90%

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