Question

Express each of the following ratios in its simplest forms:
$\left(iii\right)$ $3m:90cm$

Answer 1

Express in the simplest form

We know that $1m=100cm$
Therefore,
$3m=3\times 100=300cm$
We have:

$3m:90cm=\frac{3m}{90cm}=\frac{300cm}{90cm}=\frac{30}{9}$

Above ratio or fraction can be converted to its simplest form by dividing numerator and denominator by $3$, we get

$\frac{30}{9}=\frac{30÷3}{9÷3}=\frac{10}{3}=10:3$

Hence, the simplest form of the ratio
$3m:90cm$ is $10:3$.