Question

Express the following ratios in their simplest form.

$\frac{1}{15}:\frac{1}{20}$

Answer 1

We know that:$\frac{1}{a}:\frac{1}{b}=b:a$

So we get,

$\frac{1}{15}:\frac{1}{20}=20:15$

$=\frac{20}{15}=\frac{5\times 4}{5\times 3}$

$=\frac{4}{3}$

Hence, the simplest form of the given ratio is $4:3$.