Divide :

$\dfrac{3}{14}$ ÷ $\dfrac{11}{42}$

We have:

$\begin{array}{ll} \phantom{=} \dfrac{3}{14} ÷ \dfrac{11}{42} \\ = \dfrac{3}{14} \times \dfrac{42}{11} & [\text{Reciprocal of } \dfrac{11}{42} \text{ is } \dfrac{42}{11}] \\ = \dfrac{3 \times 42}{14 \times 11} \\ = \dfrac{3 \times 3}{1 \times 11} & \text{[Simplifying 42 and 14 ⇒ Divide by 14]} \\ = \dfrac{9}{11} \\ \end{array}$

∴ The answer is $\dfrac{9}{11}$