Question

Mark (✓) against the correct answer
Reciprocal of $\frac{-7}{9}$ is
(a) $\frac{9}{7}$
(b) $\frac{-9}{7}$
(c) $\frac{7}{9}$
(d) none of these

Answer 1

(b) $\frac{-9}{7}$
$$\begin{gathered} \mathrm{Reciprocal}\mathrm{of}\frac{-7}{9}={\left(\frac{-7}{9}\right)}^{-1} \\ \mathrm{Now},\mathrm{we}\mathrm{have}: \\ \frac{1}{\left({\displaystyle \frac{-7}{9}}\right)} \\ =\frac{9}{-7} \\ =\frac{9\times -1}{-7\times -1} \\ =\frac{-9}{7} \end{gathered}$$