$$1\frac{3}{5}+4\frac{2}{7}$$
$\frac{206}{35}\approx 5.885714286$
$$\frac{5+3}{5}+\frac{4\times 7+2}{7}$$
$$\frac{8}{5}+\frac{4\times 7+2}{7}$$
$$\frac{8}{5}+\frac{28+2}{7}$$
$$\frac{8}{5}+\frac{30}{7}$$
$$\frac{56}{35}+\frac{150}{35}$$
$$\frac{56+150}{35}$$
$$\frac{206}{35}$$
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$\frac{2 \cdot 103}{5 \cdot 7} = 5\frac{31}{35} = 5.885714285714286$
