Question

Mark the correct alternative in each of the following:

$1÷\frac{-5}{7}=$

(a) $\frac{2}{7}$ (b) $\frac{5}{7}$ (c) $-\frac{2}{7}$ (d) $\frac{-7}{5}$

Answer 1

$$\begin{gathered} 1÷\frac{-5}{7} \\ =1\times \frac{7}{-5}\left(x÷y=x\times \frac{1}{y}\right) \\ =\frac{7}{-5} \\ =\frac{7\times \left(-1\right)}{-5\times \left(-1\right)} \\ =\frac{-7}{5} \end{gathered}$$

Hence, the correct answer is option (d).