$$\frac{1}{2}+\frac{1}{2}+\frac{1}{8}$$
$\frac{9}{8}=1.125$
$$\frac{1+1}{2}+\frac{1}{8}$$
$$\frac{2}{2}+\frac{1}{8}$$
$$1+\frac{1}{8}$$
$$\frac{8}{8}+\frac{1}{8}$$
$$\frac{8+1}{8}$$
$$\frac{9}{8}$$
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$\frac{3 ^ {2}}{2 ^ {3}} = 1\frac{1}{8} = 1.125$