$$4\frac{5}{7}+3\frac{3}{14}$$
$\frac{111}{14}\approx 7.928571429$
$$\frac{28+5}{7}+\frac{3\times 14+3}{14}$$
$$\frac{33}{7}+\frac{3\times 14+3}{14}$$
$$\frac{33}{7}+\frac{42+3}{14}$$
$$\frac{33}{7}+\frac{45}{14}$$
$$\frac{66}{14}+\frac{45}{14}$$
$$\frac{66+45}{14}$$
$$\frac{111}{14}$$
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$\frac{3 \cdot 37}{2 \cdot 7} = 7\frac{13}{14} = 7.928571428571429$
