Write a fraction equivalent to:

(i) $\frac{8}{17}$ with denominator 102.

(ii) $\frac{23}{30}$ with denominator 330.

(iii) $\frac{25}{45}$ with denominator 9.

Given :

The given fractions are,

(i) $\frac{8}{17}$ 

(ii) $\frac{23}{30}$

(iii) $\frac{25}{45}$.

To do :

We have to write the equivalent fractions of the given fractions with denominators 102, 330, and 9.

Solution :

(i) $\frac{8}{17}$ 

$\frac{8}{17} = \frac{8 \times 6}{17 \times 6}$

     $= \frac{48}{102}$

Therefore, the equivalent fraction of $\frac{8}{17}$ is $\frac{48}{102}$.

 (ii) $\frac{23}{30}$

$\frac{23}{30} = \frac{23 \times 11}{30 \times 11}$

      $= \frac{253}{330}$

Therefore, the equivalent fraction of $\frac{23}{30}$ is $\frac{253}{330}$.

(iii) $\frac{25}{45}$

 $\frac{25}{45}=  \frac{25 \div 5}{45 \div 5} $

        $= \frac{5}{9}$

Therefore, the equivalent fraction of $\frac{25}{45}$ is $\frac{5}{9}$.

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Updated on: 10-Oct-2022

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