Mark (✓) against the correct answer

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

Solution:

(b) $\frac{-9}{7}$

Reciprocal of $\frac{-7}{9}=\left(\frac{-7}{9}\right)^{-1}$

Now, we have :

$\frac{1}{\left(\frac{-7}{9}\right)}$

$=\frac{9}{-7}$

$=\frac{9 \times-1}{-7 \times-1}$

$=\frac{-9}{7}$

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