$$9 \frac { 1 } { 2 } + \frac { 13 } { 8 } + \frac { 11 } { 12 }$$
$\frac{289}{24}\approx 12.041666667$
$$\frac{18+1}{2}+\frac{13}{8}+\frac{11}{12}$$
$$\frac{19}{2}+\frac{13}{8}+\frac{11}{12}$$
$$\frac{76}{8}+\frac{13}{8}+\frac{11}{12}$$
$$\frac{76+13}{8}+\frac{11}{12}$$
$$\frac{89}{8}+\frac{11}{12}$$
$$\frac{267}{24}+\frac{22}{24}$$
$$\frac{267+22}{24}$$
$$\frac{289}{24}$$
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$\frac{17 ^ {2}}{2 ^ {3} \cdot 3} = 12\frac{1}{24} = 12.041666666666666$
