Find:

(i) $\dfrac{1}{8}$ of 40

(ii) $\dfrac{4}{11}$ of $4\dfrac{2}{5}$

(iii) $1\dfrac{3}{5}$ of $6\dfrac{1}{4}$

(iv) $\dfrac{3}{4}$ of ₹ 1

(v) $\dfrac{5}{8}$ of 1 km

(vi) $\dfrac{5}{12}$ of 1 hour

(i) $\dfrac{1}{8}$ of 40

$\Rightarrow \dfrac{1}{8} \times 40\\[1em] \Rightarrow \dfrac{1 \times 40}{8}\\[1em] \Rightarrow \dfrac{40}{8}\\[1em] \Rightarrow 5$

Hence, $\dfrac{1}{8}$ of 40 = 5.

(ii) $\dfrac{4}{11}$ of $4\dfrac{2}{5}$

$\Rightarrow \dfrac{4}{11} \times 4\dfrac{2}{5}\\[1em] \Rightarrow \dfrac{4}{11} \times \dfrac{22}{5}\\[1em] \Rightarrow \dfrac{4}{5} \times \dfrac{22}{11}\\[1em] \Rightarrow \dfrac{4}{5} \times 2 \\[1em] \Rightarrow \dfrac{8}{5}\\[1em] \Rightarrow 1\dfrac{3}{5}.$

Hence, $\dfrac{4}{11} \text{ of } 4\dfrac{2}{5} = 1\dfrac{3}{5}$.

(iii) $1\dfrac{3}{5}$ of $6\dfrac{1}{4}$

$\Rightarrow 1\dfrac{3}{5} \times 6\dfrac{1}{4}\\[1em] \Rightarrow \dfrac{8}{5} \times \dfrac{25}{4}\\[1em] \Rightarrow \dfrac{8 \times 25}{5 \times 4}\\[1em] \Rightarrow \dfrac{200}{20}\\[1em] \Rightarrow 10.$

Hence, $1\dfrac{3}{5} \text{ of } 6\dfrac{1}{4} = 10$.

(iv) $\dfrac{3}{4}$ of ₹ 1

$\Rightarrow \dfrac{3}{4} \times ₹ 1\\[1em] \Rightarrow \dfrac{3}{4} \times 100 \text{ paise}\\[1em] \Rightarrow \dfrac{3 \times 100}{4}\text{ paise}\\[1em] \Rightarrow \dfrac{300}{4}\text{ paise}\\[1em] \Rightarrow 75\text{ paise}$

Hence, $\dfrac{3}{4}$ of ₹ 1 = 75 paise.

(v) $\dfrac{5}{8}$ of 1 km

$\Rightarrow \dfrac{5}{8} \times 1\text{ km}\\[1em] \Rightarrow \dfrac{5}{8} \times 1000\text{ m}\\[1em] \Rightarrow \dfrac{5 \times 1000}{8}\text{ m}\\[1em] \Rightarrow \dfrac{5000}{8}\text{ m}\\[1em] \Rightarrow 625\text{ m}\\[1em]$

Hence, $\dfrac{5}{8}$ of 1 km = 625 m.

(vi) $\dfrac{5}{12}$ of 1 hour

$\Rightarrow \dfrac{5}{12} \times 1 \text{ hour}\\[1em] \Rightarrow \dfrac{5}{12} \times 60 \text{ min}\\[1em] \Rightarrow \dfrac{5 \times 60}{12} \text{ min}\\[1em] \Rightarrow \dfrac{300}{12} \text{ min}\\[1em] \Rightarrow 25 \text{ min}\\[1em]$

Hence, $\dfrac{5}{12}$ of 1 hour = 25 min.