Question

Find the sub-triplicate ratio of the following:
i) $512:216$

Answer 1

Given: $512:216$

$512:216=\frac{512}{216}$

So, the triplicate ratio of $512:216$ is,

$\sqrt[3]{3\frac{512}{216}}=\sqrt[3]{3\frac{8^3}{6^3}}$

$={\left(\frac{8^3}{6^3}\right)}^{\frac{1}{3}}$

$=\frac{8}{6}$

$=\frac{4}{3}$

Hence, the sub-triplicate ratio of $512:216\text{is}4:3$.