$$2+\frac{3}{4}+1\frac{5}{8}+3\frac{7}{16}$$
$\frac{125}{16}=7.8125$
$$\frac{8}{4}+\frac{3}{4}+\frac{1\times 8+5}{8}+\frac{3\times 16+7}{16}$$
$$\frac{8+3}{4}+\frac{1\times 8+5}{8}+\frac{3\times 16+7}{16}$$
$$\frac{11}{4}+\frac{1\times 8+5}{8}+\frac{3\times 16+7}{16}$$
$$\frac{11}{4}+\frac{8+5}{8}+\frac{3\times 16+7}{16}$$
$$\frac{11}{4}+\frac{13}{8}+\frac{3\times 16+7}{16}$$
$$\frac{22}{8}+\frac{13}{8}+\frac{3\times 16+7}{16}$$
$$\frac{22+13}{8}+\frac{3\times 16+7}{16}$$
$$\frac{35}{8}+\frac{3\times 16+7}{16}$$
$$\frac{35}{8}+\frac{48+7}{16}$$
$$\frac{35}{8}+\frac{55}{16}$$
$$\frac{70}{16}+\frac{55}{16}$$
$$\frac{70+55}{16}$$
$$\frac{125}{16}$$
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$\frac{5 ^ {3}}{2 ^ {4}} = 7\frac{13}{16} = 7.8125$