$$\{(\frac{5}{8})^{-1}-(\frac{1}{4})^{-1}\}^{-1}$$
$-\frac{5}{12}\approx -0.416666667$
$$\left(\frac{8}{5}-\left(\frac{1}{4}\right)^{-1}\right)^{-1}$$
$$\left(\frac{8}{5}-4\right)^{-1}$$
$$\left(-\frac{12}{5}\right)^{-1}$$
$$-\frac{5}{12}$$
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$-\frac{5}{12} = -0.4166666666666667$