$$10\frac{7}{8}+3\frac{1}{7}=$$
$\frac{785}{56}\approx 14.017857143$
$$\frac{80+7}{8}+\frac{3\times 7+1}{7}$$
$$\frac{87}{8}+\frac{3\times 7+1}{7}$$
$$\frac{87}{8}+\frac{21+1}{7}$$
$$\frac{87}{8}+\frac{22}{7}$$
$$\frac{609}{56}+\frac{176}{56}$$
$$\frac{609+176}{56}$$
$$\frac{785}{56}$$
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$\frac{5 \cdot 157}{2 ^ {3} \cdot 7} = 14\frac{1}{56} = 14.017857142857142$
