$$1\frac{3}{2}+2\frac{2}{4}+3\frac{1}{6}$$
$\frac{49}{6}\approx 8.166666667$
$$\frac{2+3}{2}+\frac{2\times 4+2}{4}+\frac{3\times 6+1}{6}$$
$$\frac{5}{2}+\frac{2\times 4+2}{4}+\frac{3\times 6+1}{6}$$
$$\frac{5}{2}+\frac{8+2}{4}+\frac{3\times 6+1}{6}$$
$$\frac{5}{2}+\frac{10}{4}+\frac{3\times 6+1}{6}$$
$$\frac{5}{2}+\frac{5}{2}+\frac{3\times 6+1}{6}$$
$$\frac{5+5}{2}+\frac{3\times 6+1}{6}$$
$$\frac{10}{2}+\frac{3\times 6+1}{6}$$
$$5+\frac{3\times 6+1}{6}$$
$$5+\frac{18+1}{6}$$
$$5+\frac{19}{6}$$
$$\frac{30}{6}+\frac{19}{6}$$
$$\frac{30+19}{6}$$
$$\frac{49}{6}$$
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$\frac{7 ^ {2}}{2 \cdot 3} = 8\frac{1}{6} = 8.166666666666666$
