Question

What fraction of the week is 3 days?

Answer 1

Represent days into a fraction of a week:

$$\begin{gathered} \because 7\mathrm{days}=1\mathrm{week} \\ \therefore 1\mathrm{day}=\frac{1}{7}\mathrm{week} \end{gathered}$$

It means that,

$$\begin{gathered} 1\mathrm{day}=\frac{1}{7}\mathrm{th}\mathrm{part}\mathrm{of}\mathrm{a}\mathrm{week} \\ \therefore 3\mathrm{days}=3\times \frac{1}{7} \\ \Rightarrow =\frac{3}{7} \\ \Rightarrow =\frac{3}{7}\mathrm{th}\mathrm{part}\mathrm{of}\mathrm{a}\mathrm{week} \end{gathered}$$

Hence, $3$ days are a $\frac{3}{7}$ fraction of a week.