$$1 \frac { 3 } { 4 } + 2 \frac { 3 } { 8 }$$
$\frac{33}{8}=4.125$
$$\frac{4+3}{4}+\frac{2\times 8+3}{8}$$
$$\frac{7}{4}+\frac{2\times 8+3}{8}$$
$$\frac{7}{4}+\frac{16+3}{8}$$
$$\frac{7}{4}+\frac{19}{8}$$
$$\frac{14}{8}+\frac{19}{8}$$
$$\frac{14+19}{8}$$
$$\frac{33}{8}$$
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$\frac{3 \cdot 11}{2 ^ {3}} = 4\frac{1}{8} = 4.125$