Express the following as a recurring decimal :

$\dfrac{3}{11}$

By actual division, we get:

$\begin{array}{r} 0.2727… \ 11 \overline{\smash{)} 3.0000 } \ \underline{22} \phantom{.000} \ 80 \phantom{.00} \ \underline{77} \phantom{.00} \ 30 \phantom{.0} \ \underline{22} \phantom{.0} \ 80 \phantom{} \ \underline{77} \phantom{} \ 3 \phantom{} \end{array}$

∴ $\dfrac{3}{11} = 0.2727… = 0.\overline{27}$