Find the reciprocal of :

$3\dfrac{1}{3}$

We have:

$3\dfrac{1}{3} = \dfrac{10}{3} \hspace{1.5cm}\text{[Converting mixed to improper fraction]}$

Interchanging its numerator and denominator we get,

$\dfrac{10}{3}$ = $\dfrac{3}{10}$

∴ The reciprocal of $\dfrac{10}{3}$ is $\dfrac{3}{10}$