Question

Find triplicate ratio of ${\displaystyle \frac{m}{2}:\frac{n}{3}}$

Answer 1

Triplicate ratio of ${\displaystyle \frac{m}{2}:\frac{n}{3}}$

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

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

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

= 27m³ : 8n³