$$1\frac{3}{4}+2\frac{1}{8}$$
$\frac{31}{8}=3.875$
$$\frac{4+3}{4}+\frac{2\times 8+1}{8}$$
$$\frac{7}{4}+\frac{2\times 8+1}{8}$$
$$\frac{7}{4}+\frac{16+1}{8}$$
$$\frac{7}{4}+\frac{17}{8}$$
$$\frac{14}{8}+\frac{17}{8}$$
$$\frac{14+17}{8}$$
$$\frac{31}{8}$$
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$\frac{31}{2 ^ {3}} = 3\frac{7}{8} = 3.875$
