$$2\frac{1}{3}+2\frac{1}{4}$$
$\frac{55}{12}\approx 4.583333333$
$$\frac{6+1}{3}+\frac{2\times 4+1}{4}$$
$$\frac{7}{3}+\frac{2\times 4+1}{4}$$
$$\frac{7}{3}+\frac{8+1}{4}$$
$$\frac{7}{3}+\frac{9}{4}$$
$$\frac{28}{12}+\frac{27}{12}$$
$$\frac{28+27}{12}$$
$$\frac{55}{12}$$
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$\frac{5 \cdot 11}{2 ^ {2} \cdot 3} = 4\frac{7}{12} = 4.583333333333333$