$$5\frac{12}{6}+\frac{5}{8}+\frac{7}{12}+\frac{4}{10}$$
$\frac{1033}{120}\approx 8.608333333$
$$\frac{30+12}{6}+\frac{5}{8}+\frac{7}{12}+\frac{4}{10}$$
$$\frac{42}{6}+\frac{5}{8}+\frac{7}{12}+\frac{4}{10}$$
$$7+\frac{5}{8}+\frac{7}{12}+\frac{4}{10}$$
$$\frac{56}{8}+\frac{5}{8}+\frac{7}{12}+\frac{4}{10}$$
$$\frac{56+5}{8}+\frac{7}{12}+\frac{4}{10}$$
$$\frac{61}{8}+\frac{7}{12}+\frac{4}{10}$$
$$\frac{183}{24}+\frac{14}{24}+\frac{4}{10}$$
$$\frac{183+14}{24}+\frac{4}{10}$$
$$\frac{197}{24}+\frac{4}{10}$$
$$\frac{197}{24}+\frac{2}{5}$$
$$\frac{985}{120}+\frac{48}{120}$$
$$\frac{985+48}{120}$$
$$\frac{1033}{120}$$
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$\frac{1033}{2 ^ {3} \cdot 3 \cdot 5} = 8\frac{73}{120} = 8.608333333333333$
