$$8\frac{3}{8}+6\frac{1}{2}$$
$\frac{119}{8}=14.875$
$$\frac{64+3}{8}+\frac{6\times 2+1}{2}$$
$$\frac{67}{8}+\frac{6\times 2+1}{2}$$
$$\frac{67}{8}+\frac{12+1}{2}$$
$$\frac{67}{8}+\frac{13}{2}$$
$$\frac{67}{8}+\frac{52}{8}$$
$$\frac{67+52}{8}$$
$$\frac{119}{8}$$
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$\frac{7 \cdot 17}{2 ^ {3}} = 14\frac{7}{8} = 14.875$