$$8\frac{2}{3}+9\frac{5}{6}$$
$\frac{37}{2}=18.5$
$$\frac{24+2}{3}+\frac{9\times 6+5}{6}$$
$$\frac{26}{3}+\frac{9\times 6+5}{6}$$
$$\frac{26}{3}+\frac{54+5}{6}$$
$$\frac{26}{3}+\frac{59}{6}$$
$$\frac{52}{6}+\frac{59}{6}$$
$$\frac{52+59}{6}$$
$$\frac{111}{6}$$
$$\frac{37}{2}$$
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$\frac{37}{2} = 18\frac{1}{2} = 18.5$