$$3\frac{1}{4}+2\frac{1}{3}$$
$\frac{67}{12}\approx 5.583333333$
$$\frac{12+1}{4}+\frac{2\times 3+1}{3}$$
$$\frac{13}{4}+\frac{2\times 3+1}{3}$$
$$\frac{13}{4}+\frac{6+1}{3}$$
$$\frac{13}{4}+\frac{7}{3}$$
$$\frac{39}{12}+\frac{28}{12}$$
$$\frac{39+28}{12}$$
$$\frac{67}{12}$$
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$\frac{67}{2 ^ {2} \cdot 3} = 5\frac{7}{12} = 5.583333333333333$
