Question

Multiply.

(i) $\frac{7}{5}\times \frac{1}{4}$

(ii) $\frac{6}{7}\times \frac{2}{5}$

(iii) $\frac{{\displaystyle 5}}{{\displaystyle 9}}\times \frac{{\displaystyle 4}}{{\displaystyle 9}}$

(iv) $\frac{{\displaystyle 4}}{{\displaystyle 11}}\times \frac{{\displaystyle 2}}{{\displaystyle 7}}$

(v) $\frac{{\displaystyle 1}}{{\displaystyle 5}}\times \frac{{\displaystyle 7}}{{\displaystyle 2}}$

(vi) $\frac{{\displaystyle 9}}{{\displaystyle 7}}\times \frac{{\displaystyle 7}}{{\displaystyle 8}}$

(vii) $\frac{{\displaystyle 5}}{{\displaystyle 6}}\times \frac{{\displaystyle 6}}{{\displaystyle 5}}$

(viii) $\frac{{\displaystyle 6}}{{\displaystyle 17}}\times \frac{{\displaystyle 3}}{{\displaystyle 2}}$

Answer 1

(i)
$$\begin{gathered} \frac{7}{5}\times \frac{1}{4}=\frac{7\times 1}{5\times 4} \\ =\frac{7}{20} \end{gathered}$$

(ii)
$$\begin{gathered} \frac{6}{7}\times \frac{2}{5}=\frac{6\times 2}{7\times 5} \\ =\frac{12}{35} \end{gathered}$$

(iii)
$$\begin{gathered} \frac{{\displaystyle 5}}{{\displaystyle 9}}\times \frac{{\displaystyle 4}}{{\displaystyle 9}}=\frac{{\displaystyle 5\times 4}}{{\displaystyle 9\times 9}} \\ =\frac{20}{81} \end{gathered}$$

(iv)
$$\begin{gathered} \frac{{\displaystyle 4}}{{\displaystyle 11}}\times \frac{{\displaystyle 2}}{{\displaystyle 7}}=\frac{4\times 2}{11\times 7} \\ =\frac{8}{77} \end{gathered}$$

(v)
$$\begin{gathered} \frac{{\displaystyle 1}}{{\displaystyle 5}}\times \frac{{\displaystyle 7}}{{\displaystyle 2}}=\frac{{\displaystyle 1\times 7}}{{\displaystyle 5\times 2}} \\ =\frac{7}{10} \end{gathered}$$

(vi)
$$\begin{gathered} \frac{{\displaystyle 9}}{{\displaystyle 7}}\times \frac{{\displaystyle 7}}{{\displaystyle 8}}=\frac{{\displaystyle 9}}{{\displaystyle \cancel{7}}}\times \frac{{\displaystyle \cancel{7}}}{{\displaystyle 8}} \\ =\frac{9}{8} \end{gathered}$$

(vii)
$$\begin{gathered} \frac{{\displaystyle 5}}{{\displaystyle 6}}\times \frac{{\displaystyle 6}}{{\displaystyle 5}}=\frac{{\displaystyle \cancel{5}}}{{\displaystyle \cancel{6}}}\times \frac{{\displaystyle \cancel{6}}}{{\displaystyle \cancel{5}}} \\ =1 \end{gathered}$$

(viii)
$$\begin{gathered} \frac{{\displaystyle 6}}{{\displaystyle 17}}\times \frac{{\displaystyle 3}}{{\displaystyle 2}}=\frac{{\displaystyle 3\cancel{6}}}{{\displaystyle 17}}\times \frac{{\displaystyle 3}}{{\displaystyle \cancel{2}}} \\ =\frac{3\times 3}{17} \\ =\frac{9}{17} \end{gathered}$$