$$[(\frac{-8}{13})^{-1}+(\frac{14}{5})^{-1}]\div(\frac{74}{5})^{-1}$$
$-\frac{2627}{140}\approx -18.764285714$
$$\frac{\left(-\frac{8}{13}\right)^{-1}+\left(\frac{14}{5}\right)^{-1}}{\left(\frac{74}{5}\right)^{-1}}$$
$$\frac{-\frac{13}{8}+\left(\frac{14}{5}\right)^{-1}}{\left(\frac{74}{5}\right)^{-1}}$$
$$\frac{-\frac{13}{8}+\frac{5}{14}}{\left(\frac{74}{5}\right)^{-1}}$$
$$\frac{-\frac{71}{56}}{\left(\frac{74}{5}\right)^{-1}}$$
$$\frac{-\frac{71}{56}}{\frac{5}{74}}$$
$$-\frac{71}{56}\times \frac{74}{5}$$
$$-\frac{2627}{140}$$
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$-\frac{2627}{140} = -18\frac{107}{140} = -18.764285714285716$
