Mark (✓) against the correct answer

Question:

Mark (✓) against the correct answer

$\left(\frac{-5}{4}\right)^{-1}=?$

(a) $\frac{4}{5}$

(b) $\frac{-4}{5}$

(C) $\frac{5}{4}$

(d) $\frac{3}{5}$

Solution:

(b) $\frac{-4}{5}$

We ahve:

$\left(\frac{-5}{4}\right)^{-1}$

$=\frac{1}{\left(\frac{-5}{4}\right)}$

$=1 \times \frac{4}{-5}$

$=\frac{4}{-5}$

$=\frac{4 \times-1}{-5 \times-1}$

$=\frac{-4}{5}$

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