$$\frac{1}{10}+\frac{1}{100}+\frac{1}{1000}$$
$\frac{111}{1000}=0.111$
$$\frac{10}{100}+\frac{1}{100}+\frac{1}{1000}$$
$$\frac{10+1}{100}+\frac{1}{1000}$$
$$\frac{11}{100}+\frac{1}{1000}$$
$$\frac{110}{1000}+\frac{1}{1000}$$
$$\frac{110+1}{1000}$$
$$\frac{111}{1000}$$
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$\frac{3 \cdot 37}{2 ^ {3} \cdot 5 ^ {3}} = 0.111$