Evaluate:
Question:

Evaluate:

(i) $\frac{-3}{5} \times \frac{10}{7}$

(ii) $\left(\frac{-5}{8}\right)^{-1}$

(iii) $(-6)^{-1}$

 

Solution:

(i) $\frac{-3}{5} \times \frac{10}{7}$

$=\frac{-3 \times 10}{5 \times 7}$

$=\frac{-30}{35}$

$=\frac{-6 \times 5}{7 \times 5}$

$=\frac{-6}{7}$

(ii) $\left(\frac{-5}{8}\right)^{-1}$

$=\frac{1}{\left(\frac{-5}{8}\right)}$

$=1 \times \frac{8}{-5}$

$=\frac{8}{-5}$

$=\frac{8 \times-1}{-5 \times-1}$

$=\frac{-8}{5}$

(iii) $(-6)^{-1}$

$=\frac{1}{-6}$

$=\frac{1 \times-1}{-6 \times-1}$

$=\frac{-1}{6}$

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