Question
Find the triplicate ratio of $\frac{1}{2}: \frac{1}{3}$

Answer

Triplicate ratio of $\frac{1}{2}: \frac{1}{3}$
$
\begin{aligned}
& =\left(\frac{1}{2}\right)^3:\left(\frac{1}{3}\right)^3 \\
& =\frac{1}{8}: \frac{1}{27} \\
& =27: 8 .
\end{aligned}
$

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