Question

Multiply:
(i) $\frac{7}{11}\mathrm{by}\frac{3}{5}$
(ii) $\frac{3}{5}\mathrm{by}25$
(iii) $3\frac{4}{15}\mathrm{by}24$
(iv) $3\frac{1}{8}\mathrm{by}\times 4\frac{10}{14}$

Answer 1

(i)
$$\begin{gathered} \frac{7}{11}\times \frac{3}{5}=\frac{7\times 3}{11\times 5} \\ \Rightarrow \frac{21}{55} \end{gathered}$$

(ii)
$$\begin{gathered} \frac{3}{5}\times 25=\frac{3\times 25}{5\times 1} \\ \Rightarrow \frac{75}{5}\iff 15 \end{gathered}$$

(iii)
$$\begin{gathered} \left[3\frac{4}{15}\right]\times 24 \\ \left[\frac{(3\times 15)+4}{15}\right]\times 24=\frac{49\times 24}{15\times 1} \\ \Rightarrow \frac{392}{5}=78\frac{2}{5} \end{gathered}$$

(iv)
$$\begin{gathered} \left[3\frac{1}{8}\right]\times \left[4\frac{10}{11}\right] \\ \left[\frac{(3\times 8)+1}{8}\right]\times \left[\frac{(4\times 11)+10}{11}\right]=\frac{25\times 54}{8\times 11} \\ \Rightarrow \frac{1350}{88}\iff \frac{675}{44}=15\frac{15}{44} \end{gathered}$$