Find the value of :

$\dfrac{1}{2}$ of $2\dfrac{2}{3}$

We have:

$\dfrac{1}{2}$ of $2\dfrac{2}{3}$

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

∴ The answer is 1 $\dfrac{1}{3}$