$$\frac{3}{7}+\frac{2}{7}+\frac{5}{6}+\frac{4}{6}+\frac{2}{3}$$
$\frac{121}{42}\approx 2.880952381$
$$\frac{3+2}{7}+\frac{5}{6}+\frac{4}{6}+\frac{2}{3}$$
$$\frac{5}{7}+\frac{5}{6}+\frac{4}{6}+\frac{2}{3}$$
$$\frac{30}{42}+\frac{35}{42}+\frac{4}{6}+\frac{2}{3}$$
$$\frac{30+35}{42}+\frac{4}{6}+\frac{2}{3}$$
$$\frac{65}{42}+\frac{4}{6}+\frac{2}{3}$$
$$\frac{65}{42}+\frac{2}{3}+\frac{2}{3}$$
$$\frac{65}{42}+\frac{28}{42}+\frac{2}{3}$$
$$\frac{65+28}{42}+\frac{2}{3}$$
$$\frac{93}{42}+\frac{2}{3}$$
$$\frac{31}{14}+\frac{2}{3}$$
$$\frac{93}{42}+\frac{28}{42}$$
$$\frac{93+28}{42}$$
$$\frac{121}{42}$$
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$\frac{11 ^ {2}}{2 \cdot 3 \cdot 7} = 2\frac{37}{42} = 2.880952380952381$