Question

What fraction of an hour is $40\mathrm{minutes}$ ?

Answer 1

Represent minutes into a fraction of an hour:

$$\begin{gathered} \because 60\mathrm{minutes}=1\mathrm{hour} \\ \therefore 1\mathrm{minutes}=\frac{1}{60}\mathrm{hour} \end{gathered}$$

It means that,

$$\begin{gathered} 1\mathrm{minute}=\frac{1}{60}\mathrm{th}\mathrm{part}\mathrm{of}\mathrm{an}\mathrm{hour} \\ \therefore 40\mathrm{minute}=40\times \frac{1}{60} \\ \Rightarrow =\frac{40}{60} \\ \Rightarrow =\frac{2}{3}\mathrm{th}\mathrm{part}\mathrm{of}\mathrm{an}\mathrm{hour} \end{gathered}$$

Hence, $40\mathrm{minute}$ is a $\frac{2}{3}$ fraction of an hour.