$$2\frac{1}{4}+3\frac{2}{3}$$
$\frac{71}{12}\approx 5.916666667$
$$\frac{8+1}{4}+\frac{3\times 3+2}{3}$$
$$\frac{9}{4}+\frac{3\times 3+2}{3}$$
$$\frac{9}{4}+\frac{9+2}{3}$$
$$\frac{9}{4}+\frac{11}{3}$$
$$\frac{27}{12}+\frac{44}{12}$$
$$\frac{27+44}{12}$$
$$\frac{71}{12}$$
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$\frac{71}{2 ^ {2} \cdot 3} = 5\frac{11}{12} = 5.916666666666667$
