Evaluate the following:

(i) $\dfrac{2}{3} \times 60$

(ii) $\dfrac{4}{7} \times 280$

(iii) $\dfrac{2}{3}$ of $1\dfrac{4}{9}$

(i) $\dfrac{2}{3} \times 60$

$\Rightarrow \dfrac{2 \times 60}{3}\\[1em] \Rightarrow 2 \times 20\\[1em] \Rightarrow 40$

Hence, $\dfrac{2}{3} \times 60 = 40$.

(ii) $\dfrac{4}{7} \times 280$

$\Rightarrow \dfrac{4 \times 280}{7}\\[1em] \Rightarrow 4 \times 40\\[1em] \Rightarrow 160$

Hence, $\dfrac{4}{7} \times 280 = 160$.

(iii) $\dfrac{2}{3}$ of $1\dfrac{4}{9}$

$\Rightarrow \dfrac{2}{3} \times 1\dfrac{4}{9}\\[1em] \Rightarrow \dfrac{2}{3} \times \dfrac{13}{9}\\[1em] \Rightarrow \dfrac{2 \times 13}{3 \times 9}\\[1em] \Rightarrow \dfrac{26}{27}$

Hence, $\dfrac{2}{3}$ of $1\dfrac{4}{9} = \dfrac{26}{27}$.