Question

Find triplicate ratio of :

$\left(ii\right)$ $\frac{m}{2}:\frac{n}{3}$

Answer 1

Step: Find the triplicate ratio

Triplicate ratio = ${\left(\frac{m}{2}\right)}^3:{\left(\frac{n}{3}\right)}^3$

$=\frac{m^3}{8}:\frac{n^3}{27}$

$=27m^3:8n^3$

Hence, the triplicate ratio of $\frac{m}{2}:\frac{n}{3}\text{is}27m^3:8n^3.$