Question

There were 420 students participating in the Swachh Bharat campaign. They cleaned $\frac{42}{75}$ part of the town, Sevagram. What part of Sevagram did each student clean if the work was equally shared by all?

Answer 1

420 students cleaned $\frac{42}{75}$ part of the Sevagram town.
1 student cleaned the part of the Sevagram town equal to $\frac{42}{75}÷420$
$$\begin{gathered} =\frac{42}{75}\times \frac{1}{420} \\ =\frac{{\displaystyle 42}}{{\displaystyle 75\times 420}} \\ =\frac{{\displaystyle 1}}{{\displaystyle 75\times 10}} \\ =\frac{{\displaystyle 1}}{{\displaystyle 750}} \end{gathered}$$
Hence, each student cleaned $\frac{1}{750}$ part of the Sevagram town.