$$2 \frac { 1 } { 7 } + 3 \frac { 1 } { 8 }$$
$\frac{295}{56}\approx 5.267857143$
$$\frac{14+1}{7}+\frac{3\times 8+1}{8}$$
$$\frac{15}{7}+\frac{3\times 8+1}{8}$$
$$\frac{15}{7}+\frac{24+1}{8}$$
$$\frac{15}{7}+\frac{25}{8}$$
$$\frac{120}{56}+\frac{175}{56}$$
$$\frac{120+175}{56}$$
$$\frac{295}{56}$$
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$\frac{5 \cdot 59}{2 ^ {3} \cdot 7} = 5\frac{15}{56} = 5.267857142857143$
