$$3\frac{2}{3}+4\frac{1}{2}$$
$\frac{49}{6}\approx 8.166666667$
$$\frac{9+2}{3}+\frac{4\times 2+1}{2}$$
$$\frac{11}{3}+\frac{4\times 2+1}{2}$$
$$\frac{11}{3}+\frac{8+1}{2}$$
$$\frac{11}{3}+\frac{9}{2}$$
$$\frac{22}{6}+\frac{27}{6}$$
$$\frac{22+27}{6}$$
$$\frac{49}{6}$$
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$\frac{7 ^ {2}}{2 \cdot 3} = 8\frac{1}{6} = 8.166666666666666$