$$-4+\frac{3}{7}+4\frac{2}{13}$$
$\frac{53}{91}\approx 0.582417582$
$$-\frac{28}{7}+\frac{3}{7}+\frac{4\times 13+2}{13}$$
$$\frac{-28+3}{7}+\frac{4\times 13+2}{13}$$
$$-\frac{25}{7}+\frac{4\times 13+2}{13}$$
$$-\frac{25}{7}+\frac{52+2}{13}$$
$$-\frac{25}{7}+\frac{54}{13}$$
$$-\frac{325}{91}+\frac{378}{91}$$
$$\frac{-325+378}{91}$$
$$\frac{53}{91}$$
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$\frac{53}{7 \cdot 13} = 0.5824175824175825$