Question

By what number should we multiply $\frac{6}{\frac{2}{3}}$ to get $\frac{25}{\frac{5}{6}}$?

Answer 1

Let the number to be multiplied be x
$\frac{6}{\frac{2}{3}}\times x=\frac{25}{\frac{5}{6}}$
$\Rightarrow \frac{6\times 3}{2}\times x=\frac{25}{5}\times 6$
$\Rightarrow 9x=30$
$\Rightarrow x=\frac{\text{/}{30}^{10}}{\text{/}{9}_3}=\frac{10}{3}$