$$6\frac{7}{8}+7\frac{1}{2}$$
$\frac{115}{8}=14.375$
$$\frac{48+7}{8}+\frac{7\times 2+1}{2}$$
$$\frac{55}{8}+\frac{7\times 2+1}{2}$$
$$\frac{55}{8}+\frac{14+1}{2}$$
$$\frac{55}{8}+\frac{15}{2}$$
$$\frac{55}{8}+\frac{60}{8}$$
$$\frac{55+60}{8}$$
$$\frac{115}{8}$$
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$\frac{5 \cdot 23}{2 ^ {3}} = 14\frac{3}{8} = 14.375$
