Question

Express each of the following ratios in its simplest forms:
$\left(vi\right)$ $4min:45\sec$

Answer 1

Express in the simplest form

We know that $1min=60\sec$
Therefore, $4min=4\times 60=240\sec$

We have,⁡

$4min:45\sec =\frac{4min}{45\sec }=\frac{240\sec }{45\sec }=\frac{240}{45}$

Above ratio or fraction can be converted to its simplest form by dividing numerator and denominator by $15$, we get

$\frac{240}{45}=\frac{240÷15}{45÷15}=\frac{16}{3}=16:3$

Therefore, the simplest form of the ratio $4min:45\sec$ is $16:3$.