Find the value of :

$\dfrac{3}{4}$ of $\dfrac{8}{9}$

We have:

$\dfrac{3}{4}$ of $\dfrac{8}{9}$

$\begin{array}{ll} = \dfrac{8}{9} \times \dfrac{3}{4} \\ = \dfrac{2}{9} \times \dfrac{3}{1} & \text{[Simplifying 8 and 4 ⇒ Divide by 4 ]} \\ = \dfrac{2}{3} \times \dfrac{1}{1} & \text{[Simplifying 3 and 9 ⇒ Divide by 3 ]} \\ = \dfrac{2 \times 1}{3 \times 1} \\ = \dfrac{2}{3} \end{array}$

∴ The answer is $\dfrac{2}{3}$