Convert each of the following into a fraction:

(i) $ 32 \% $

(ii) $ 6 \frac{1}{4} \% $

(iii) $ 26 \frac{2}{3} \% $

Given:

(i) \( 32 \% \)

(ii) \( 6 \frac{1}{4} \% \)

(iii) \( 26 \frac{2}{3} \% \)

To do:

We have to convert the given percentages into fractions.

i]  32%

32%  =  $\frac{32}{100}$  

$\frac{32}{100} = \frac{8\times4}{25\times4}$

32% = $\frac{8}{25}$.

ii]  6$\frac{1}{4}$%

Convert to normal fraction,

6$\frac{1}{4} = \frac{6\times4+1}{4}$

6$\frac{1}{4} = \frac{25}{4}$

$\displaystyle \frac{25}{4} \%\ =\ \frac{\frac{25}{4}}{100}$

$\frac{\frac{25}{4} }{100}  =  \frac{25}{4\times100}$

$ \frac{25}{4} \%\ = \frac{1}{16}$.

iii]  26$\frac{2}{3}$%

Convert to normal fraction,

26$\frac{2}{3} = \frac{26\times3+2}{3}$

26$\frac{2}{3} = \frac{80}{3}$

$\displaystyle \frac{80}{3} \%\ =\ \frac{\frac{80}{3}}{100}$

$\frac{\frac{80}{3} }{100}  =  \frac{80}{3\times100}$

$ \frac{80}{3} \%\ = \frac{4}{15}$.

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Updated on: 10-Oct-2022

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