$$2\frac{3}{4}+1\frac{2}{5}$$
$\frac{83}{20}=4.15$
$$\frac{8+3}{4}+\frac{1\times 5+2}{5}$$
$$\frac{11}{4}+\frac{1\times 5+2}{5}$$
$$\frac{11}{4}+\frac{5+2}{5}$$
$$\frac{11}{4}+\frac{7}{5}$$
$$\frac{55}{20}+\frac{28}{20}$$
$$\frac{55+28}{20}$$
$$\frac{83}{20}$$
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$\frac{83}{2 ^ {2} \cdot 5} = 4\frac{3}{20} = 4.15$