$$\frac{3}{4}+5\frac{7}{6}+1\frac{2}{3}$$
$\frac{103}{12}\approx 8.583333333$
$$\frac{3}{4}+\frac{30+7}{6}+\frac{1\times 3+2}{3}$$
$$\frac{3}{4}+\frac{37}{6}+\frac{1\times 3+2}{3}$$
$$\frac{9}{12}+\frac{74}{12}+\frac{1\times 3+2}{3}$$
$$\frac{9+74}{12}+\frac{1\times 3+2}{3}$$
$$\frac{83}{12}+\frac{1\times 3+2}{3}$$
$$\frac{83}{12}+\frac{3+2}{3}$$
$$\frac{83}{12}+\frac{5}{3}$$
$$\frac{83}{12}+\frac{20}{12}$$
$$\frac{83+20}{12}$$
$$\frac{103}{12}$$
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$\frac{103}{2 ^ {2} \cdot 3} = 8\frac{7}{12} = 8.583333333333334$
