Question

Simplify :
$[{\left(\frac{12}{25}\right)}^2\times {\left(\frac{15}{2}\right)}^2]÷{\left(\frac{9}{2}\right)}^2$

Answer 1

$\left[\right(\frac{12}{25}{)}^2\times \left(\frac{15}{2}{)}^2\right]÷(9/2{)}^2$

$[\frac{12}{25}\times \frac{12}{25}\times \frac{15}{2}\times \frac{15}{2}]\times \frac{2\times 2}{9\times 9}$

$\Rightarrow \frac{6\times 6\times 3\times 3}{5\times 5}\times \frac{2\times 2}{9\times 9}$

$\Rightarrow \frac{16}{25}$