Convert each of the following fractions into a percentage:

(i) $ \frac{47}{100} $

(ii) $ \frac{9}{20} $

(iii) $ \frac{3}{8} $

Given:

(i) \( \frac{47}{100} \)

(ii) \( \frac{9}{20} \)

(iii) \( \frac{3}{8} \)

To do:

We have to convert the given fractions to %.

Solution:

To Convert to %, the denominator should be equal to 100.

i]  $\frac{47}{100}$

Here, the denominator is 100.

So,  $\frac{47}{100} = 47$ %

ii]  $\frac{9}{20}$

Here, the denominator is 20.

To make it 100, multiply by 5 in both numerator and denominator.

$\frac{9\times5}{20\times5} = \frac{45}{100}$ 

$\frac{45}{100} = 45$% 

So, $\frac{9}{20} = 45$%.

iii]  $\frac{3}{8}$

Here, the denominator is 8.

To make it 100, multiply by 12.5 in both numerator and denominator.

$\frac{3\times12.5}{8\times12.5} = \frac{37.5}{100}$ 

$\frac{37.5}{100} = 37.5$% 

So, $\frac{3}{8} = 37.5$%.

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Updated on: 10-Oct-2022

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