આપેલ બે સંખ્યાની વચ્ચે એક સંમેય સંખ્યા અને એક અસંમેય સંખ્યા લખો :

$\frac{1}{3}$ અને $\frac{1}{2}$

$\frac{1}{3}=\frac{1}{3} \times \frac{4}{4}=\frac{4}{12}$ and $\frac{1}{2}=\frac{1}{2} \times \frac{6}{6}=\frac{6}{12}$

Now, $\frac{5}{12}$ is a rational number between $\frac{4}{12}$ and $\frac{6}{12} .$ So, $\frac{5}{12}$ is a rational number lying between $\frac{1}{3}$ and $\frac{1}{2}$

Again, $\frac{1}{3}=0.33333 \ldots$ and $\frac{1}{2}=0.5$

Now, $0.414114111 \ldots$ is a non-terminating and non-recurring decimal.

Hence, $0.414114111 \ldots$ is an irrational number lying between $\frac{1}{3}$ and $\frac{1}{2}$