$$3\frac{1}{9}+4\frac{5}{12}+\frac{17}{24}$$
$\frac{593}{72}\approx 8.236111111$
$$\frac{27+1}{9}+\frac{4\times 12+5}{12}+\frac{17}{24}$$
$$\frac{28}{9}+\frac{4\times 12+5}{12}+\frac{17}{24}$$
$$\frac{28}{9}+\frac{48+5}{12}+\frac{17}{24}$$
$$\frac{28}{9}+\frac{53}{12}+\frac{17}{24}$$
$$\frac{112}{36}+\frac{159}{36}+\frac{17}{24}$$
$$\frac{112+159}{36}+\frac{17}{24}$$
$$\frac{271}{36}+\frac{17}{24}$$
$$\frac{542}{72}+\frac{51}{72}$$
$$\frac{542+51}{72}$$
$$\frac{593}{72}$$
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$\frac{593}{2 ^ {3} \cdot 3 ^ {2}} = 8\frac{17}{72} = 8.23611111111111$
