$$5\frac{1}{7}+3\frac{1}{9}$$
$\frac{520}{63}\approx 8.253968254$
$$\frac{35+1}{7}+\frac{3\times 9+1}{9}$$
$$\frac{36}{7}+\frac{3\times 9+1}{9}$$
$$\frac{36}{7}+\frac{27+1}{9}$$
$$\frac{36}{7}+\frac{28}{9}$$
$$\frac{324}{63}+\frac{196}{63}$$
$$\frac{324+196}{63}$$
$$\frac{520}{63}$$
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$\frac{2 ^ {3} \cdot 5 \cdot 13}{3 ^ {2} \cdot 7} = 8\frac{16}{63} = 8.253968253968255$
