Question

Find the following products :

$\frac{-14}{25}\times \frac{9}{16}\times \frac{5}{6}\times \frac{8}{7}$

Answer 1

$$\begin{gathered} \Rightarrow \frac{-14}{25}\times \frac{9}{16}\times \frac{5}{6}\times \frac{8}{7} \\ \Rightarrow \frac{-2}{25}\times \frac{9}{16}\times \frac{5}{6}\times \frac{8}{1} \\ \Rightarrow \frac{-1}{25}\times \frac{9}{8}\times \frac{5}{6}\times \frac{8}{1} \\ \Rightarrow \frac{-1}{5}\times \frac{9}{8}\times \frac{1}{6}\times \frac{8}{1} \\ \Rightarrow \frac{-1}{5}\times \frac{9}{1}\times \frac{1}{6}\times 1 \\ \Rightarrow \frac{-1}{5}\times 3\times \frac{1}{2} \\ \Rightarrow \frac{-3}{10} \end{gathered}$$

Hence, the final answer is $\frac{-3}{10}.$