$$6\frac{5}{8}+1\frac{7}{8}-2\frac{3}{8}$$
$\frac{49}{8}=6.125$
$$\frac{48+5}{8}+\frac{1\times 8+7}{8}-\frac{2\times 8+3}{8}$$
$$\frac{53}{8}+\frac{1\times 8+7}{8}-\frac{2\times 8+3}{8}$$
$$\frac{53}{8}+\frac{8+7}{8}-\frac{2\times 8+3}{8}$$
$$\frac{53}{8}+\frac{15}{8}-\frac{2\times 8+3}{8}$$
$$\frac{53+15}{8}-\frac{2\times 8+3}{8}$$
$$\frac{68}{8}-\frac{2\times 8+3}{8}$$
$$\frac{17}{2}-\frac{2\times 8+3}{8}$$
$$\frac{17}{2}-\frac{16+3}{8}$$
$$\frac{17}{2}-\frac{19}{8}$$
$$\frac{68}{8}-\frac{19}{8}$$
$$\frac{68-19}{8}$$
$$\frac{49}{8}$$
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$\frac{7 ^ {2}}{2 ^ {3}} = 6\frac{1}{8} = 6.125$
