Question

Find the product:
(i) $\frac{4}{7}\times \frac{14}{25}$
(ii) $7\frac{1}{2}\times 2\frac{4}{15}$
(iii) $3\frac{6}{7}\times 4\frac{2}{3}$
(iv) $6\frac{11}{14}\times 3\frac{1}{2}$

Answer 1

(i)
$$\begin{gathered} \frac{4}{7}\times \frac{14}{25}=\frac{4\times 14}{7\times 25} \\ \Rightarrow \frac{8}{25} \end{gathered}$$

(ii)
$$\begin{gathered} 7\frac{1}{2}\times 2\frac{4}{15}\iff \frac{(7\times 2)+1}{2}\times \frac{(2\times 15)+4}{15} \\ \Rightarrow \frac{15}{2}\times \frac{34}{15}\iff \frac{17}{1} \end{gathered}$$
(iii)
$$\begin{gathered} 3\frac{6}{7}\times 4\frac{2}{3}\iff \frac{(3\times 7)+6}{7}\times \frac{(4\times 3)+2}{3} \\ \Rightarrow \frac{{\cancel{27}}^9}{\cancel{7}}\times \frac{{\cancel{14}}^2}{\cancel{3}}\iff \frac{18}{1} \end{gathered}$$
(iv)
$$\begin{gathered} 6\frac{11}{14}\times 3\frac{1}{2}\iff \frac{(14\times 6)+11}{14}\times \frac{(3\times 2)+1}{2} \\ \Rightarrow \frac{95}{\cancel{{14}^2}}\times \frac{\cancel{7}}{2}\iff \frac{95}{4} \end{gathered}$$