$$\frac{1}{8}+1\frac{6}{7}+3\frac{3}{5}=?$$
$\frac{1563}{280}\approx 5.582142857$
$$\frac{1}{8}+\frac{7+6}{7}+\frac{3\times 5+3}{5}$$
$$\frac{1}{8}+\frac{13}{7}+\frac{3\times 5+3}{5}$$
$$\frac{7}{56}+\frac{104}{56}+\frac{3\times 5+3}{5}$$
$$\frac{7+104}{56}+\frac{3\times 5+3}{5}$$
$$\frac{111}{56}+\frac{3\times 5+3}{5}$$
$$\frac{111}{56}+\frac{15+3}{5}$$
$$\frac{111}{56}+\frac{18}{5}$$
$$\frac{555}{280}+\frac{1008}{280}$$
$$\frac{555+1008}{280}$$
$$\frac{1563}{280}$$
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$\frac{3 \cdot 521}{2 ^ {3} \cdot 5 \cdot 7} = 5\frac{163}{280} = 5.582142857142857$
