Question

Multiply:
(i) $\frac{-5}{17}\mathrm{by}\frac{51}{-60}$

(ii) $\frac{-6}{11}\mathrm{by}\frac{-55}{36}$

(iii) $\frac{-8}{25}\mathrm{by}\frac{-5}{16}$

(iv) $\frac{6}{7}\mathrm{by}\frac{-49}{36}$

(v) $\frac{8}{-9}\mathrm{by}\frac{-7}{-16}$

(vi) $\frac{-8}{9}\mathrm{by}\frac{3}{64}$

Answer 1

$$\begin{gathered} \left(\mathrm{i}\right) \\ \frac{-5}{17}\times \frac{51}{-60}=\frac{-5}{17}\times \frac{3\times 17}{-5\times 3\times 4}=\frac{-5\times 3\times 17}{-17\times 5\times 3\times 4}=\frac{1}{4} \\ \left(\mathrm{ii}\right) \\ \frac{-6}{11}\times \frac{-55}{36}=\frac{-6}{11}\times \frac{-5\times 11}{6\times 6}=\frac{5}{6} \\ \left(\mathrm{iii}\right) \\ \frac{-8}{25}\times \frac{-5}{16}=\frac{-1}{5\times 5}\times \frac{-5}{2}=\frac{1}{10} \\ \left(\mathrm{iv}\right) \\ \frac{6}{7}\times \frac{-49}{36}=\frac{6}{7}\times \frac{-7\times 7}{6\times 6}=\frac{-7}{6} \\ \left(\mathrm{v}\right) \\ \frac{8}{-9}\times \frac{-7}{-16}=\frac{1}{-9}\times \frac{-7}{-2}=\frac{-7}{18} \\ \left(\mathrm{vi}\right) \\ \frac{-8}{9}\times \frac{3}{64}=\frac{-8}{3\times 3}\times \frac{3}{8\times 8}=\frac{-1}{24} \end{gathered}$$