Find the reciprocal of :

$1\dfrac{1}{2}$

We have:

$1\dfrac{1}{2} = \dfrac{3}{2} \hspace{1.5cm}\text{[Converting mixed to improper fraction]}$

Interchanging its numerator and denominator we get,

$\dfrac{3}{2}$ = $\dfrac{2}{3}$

∴ The reciprocal of $\dfrac{3}{2}$ is $\dfrac{2}{3}$