$$\frac{3}{11}+\frac{5}{6}+1\frac{1}{3}$$
$\frac{161}{66}\approx 2.439393939$
$$\frac{18}{66}+\frac{55}{66}+\frac{1\times 3+1}{3}$$
$$\frac{18+55}{66}+\frac{1\times 3+1}{3}$$
$$\frac{73}{66}+\frac{1\times 3+1}{3}$$
$$\frac{73}{66}+\frac{3+1}{3}$$
$$\frac{73}{66}+\frac{4}{3}$$
$$\frac{73}{66}+\frac{88}{66}$$
$$\frac{73+88}{66}$$
$$\frac{161}{66}$$
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$\frac{7 \cdot 23}{2 \cdot 3 \cdot 11} = 2\frac{29}{66} = 2.4393939393939394$
