$$2\frac{3}{4}+5\frac{1}{7}$$
$\frac{221}{28}\approx 7.892857143$
$$\frac{8+3}{4}+\frac{5\times 7+1}{7}$$
$$\frac{11}{4}+\frac{5\times 7+1}{7}$$
$$\frac{11}{4}+\frac{35+1}{7}$$
$$\frac{11}{4}+\frac{36}{7}$$
$$\frac{77}{28}+\frac{144}{28}$$
$$\frac{77+144}{28}$$
$$\frac{221}{28}$$
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$\frac{13 \cdot 17}{2 ^ {2} \cdot 7} = 7\frac{25}{28} = 7.892857142857143$
