$$2\frac{1}{16}+3\frac{5}{12}$$
$\frac{263}{48}\approx 5.479166667$
$$\frac{32+1}{16}+\frac{3\times 12+5}{12}$$
$$\frac{33}{16}+\frac{3\times 12+5}{12}$$
$$\frac{33}{16}+\frac{36+5}{12}$$
$$\frac{33}{16}+\frac{41}{12}$$
$$\frac{99}{48}+\frac{164}{48}$$
$$\frac{99+164}{48}$$
$$\frac{263}{48}$$
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$\frac{263}{2 ^ {4} \cdot 3} = 5\frac{23}{48} = 5.479166666666667$
