Find the product :

$\dfrac{7}{18} \times \dfrac{9}{14}$

We have:

$\begin{array}{ll} \phantom{=} \dfrac{7}{18} \times \dfrac{9}{14} \\ = \dfrac{7 \times 9}{18 \times 14} \\ = \dfrac{7 \times 1}{2 \times 14} & \text{[Simplifying 9 and 18 ⇒ Divide by 9]} \\ = \dfrac{1 \times 1}{2 \times 2} & \text{[Simplifying 7 and 14 ⇒ Divide by 7]} \\ = \dfrac{1}{4} & \end{array}$

∴ The answer is $\dfrac{1}{4}$