$$0.12+9/8+7/14$$
$1.745$
$$\frac{3}{25}+\frac{9}{8}+\frac{7}{14}$$
$$\frac{24}{200}+\frac{225}{200}+\frac{7}{14}$$
$$\frac{24+225}{200}+\frac{7}{14}$$
$$\frac{249}{200}+\frac{7}{14}$$
$$\frac{249}{200}+\frac{1}{2}$$
$$\frac{249}{200}+\frac{100}{200}$$
$$\frac{249+100}{200}$$
$$\frac{349}{200}$$
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$\frac{349}{2 ^ {3} \cdot 5 ^ {2}} = 1\frac{149}{200} = 1.745$