Question

Write the natural numbers from $30$ to $60$. What fraction of them are divisible by $6?$

Answer 1

The Natural numbers from $30$ to $60$ are

$$\begin{gathered} 30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45, \\ 46,47,48,49,50,51,52,53,54,55,56,57,58,59,60. \end{gathered}$$

The number which are divisible by $6=30,36,42,48,54,60$

There are $31$ numbers and $6$ of them are divisible by $6$.

Hence, The required fraction is $\frac{6}{31}$.