Find the reciprocal of :

$11\dfrac{1}{11}$

We have:

$11\dfrac{1}{11}$ = $\dfrac{122}{11} \hspace{1.5cm}\text{[Converting mixed to improper fraction]}$

Interchanging its numerator and denominator we get,

$\dfrac{122}{11} = \dfrac{11}{122}$

∴ The reciprocal of $\dfrac{122}{11}$ is $\dfrac{11}{122}$