Question

Divide :
$\frac{25/9}{\frac{36}{180}+\frac{116}{4105}+\frac{36}{180}}$

Answer 1

We have,

$\frac{\frac{25}{9}}{\frac{36}{180}+\frac{116}{4105}+\frac{36}{180}}$

$\Rightarrow \frac{\frac{25}{9}}{\frac{72}{180}+\frac{116}{4105}}$

$\Rightarrow \frac{\frac{25}{9}}{\frac{2}{5}+\frac{116}{4105}}$

$\Rightarrow \frac{\frac{25}{9}}{\frac{2\times 4105+116\times 5}{5\times 4105}}$

$\Rightarrow \frac{25}{9}\times \frac{5\times 4105}{8210+580}$

$\Rightarrow \frac{25}{9}\times \frac{20525}{8790}$

$\Rightarrow \frac{5}{9}\times \frac{20525}{1758}$

$\Rightarrow \frac{102625}{15822}$

Hence, this is the answer.