Question

What percent is $3minutes20seconds$ of $5minutes$ ?

Answer 1

To convert a fraction into percentage, multiply it by $\mathbf{100}$

We know that $1second=\frac{1}{60}minute$

So $3minutes20seconds=3+20\times \frac{1}{60}$

$=3+\frac{1}{3}=\frac{10}{3}minutes$

Percentage of $3minutes20seconds$ out of $5minutes$$=\left(\frac{{\displaystyle \raisebox{1ex}{$10$}\!\left/ \!\raisebox{-1ex}{$3$}\right.}}{5}\times 100\right)\%$

$$\begin{gathered} =\frac{10}{3}\times \frac{1}{5}\times 100 \\ =66.67\% \end{gathered}$$

Hence $66.67\%$ of $5minutes$ is $3minutes20seconds$