$$8\frac{3}{4}+10\frac{2}{5}$$
$\frac{383}{20}=19.15$
$$\frac{32+3}{4}+\frac{10\times 5+2}{5}$$
$$\frac{35}{4}+\frac{10\times 5+2}{5}$$
$$\frac{35}{4}+\frac{50+2}{5}$$
$$\frac{35}{4}+\frac{52}{5}$$
$$\frac{175}{20}+\frac{208}{20}$$
$$\frac{175+208}{20}$$
$$\frac{383}{20}$$
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$\frac{383}{2 ^ {2} \cdot 5} = 19\frac{3}{20} = 19.15$