$$2\frac{1}{6}+2\frac{3}{4}$$
$\frac{59}{12}\approx 4.916666667$
$$\frac{12+1}{6}+\frac{2\times 4+3}{4}$$
$$\frac{13}{6}+\frac{2\times 4+3}{4}$$
$$\frac{13}{6}+\frac{8+3}{4}$$
$$\frac{13}{6}+\frac{11}{4}$$
$$\frac{26}{12}+\frac{33}{12}$$
$$\frac{26+33}{12}$$
$$\frac{59}{12}$$
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$\frac{59}{2 ^ {2} \cdot 3} = 4\frac{11}{12} = 4.916666666666667$