Question

Express the following ratio in simplest form:
$81:108$

Answer 1

Given ratio $81:108$ can be written as $\frac{81}{108}$
$=\frac{9\times 9}{12\times 9}$ [$9$ gets cancelled ]
$=\frac{9}{12}$
$=\frac{3\times 3}{3\times 4}$
$=\frac{3}{4}$ [$3$ gets cancelled]
$=3:4$
Therefore, the simplest form of given expression is $3:4$