Question

Simplify :

Simplify :

$\frac{12}{5}\times \frac{75}{64}÷\frac{8}{72}$

Answer 1

Given, $\frac{12}{5}\times \frac{75}{64}÷\frac{8}{72}$

$=\frac{12}{5}\times \frac{75}{64}\times \frac{72}{8}$

$$\begin{gathered} =\frac{12\times 75\times 72}{5\times 64\times 8} \\ =\frac{64800}{2560} \\ =\frac{405}{16} \end{gathered}$$ $($∵ dividing numerator and numerator by $160)$