$$1/7+1/8$$
$\frac{15}{56}\approx 0.267857143$
$$\frac{8}{56}+\frac{7}{56}$$
$$\frac{8+7}{56}$$
$$\frac{15}{56}$$
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$\frac{3 \cdot 5}{2 ^ {3} \cdot 7} = 0.26785714285714285$