$$\frac{ 3 }{ 8 } + \frac{ 5 }{ 13 } + \frac{ 9 }{ 11 } + \frac{ 8 }{ 13 }$$
$\frac{193}{88}\approx 2.193181818$
$$\frac{39}{104}+\frac{40}{104}+\frac{9}{11}+\frac{8}{13}$$
$$\frac{39+40}{104}+\frac{9}{11}+\frac{8}{13}$$
$$\frac{79}{104}+\frac{9}{11}+\frac{8}{13}$$
$$\frac{869}{1144}+\frac{936}{1144}+\frac{8}{13}$$
$$\frac{869+936}{1144}+\frac{8}{13}$$
$$\frac{1805}{1144}+\frac{8}{13}$$
$$\frac{1805}{1144}+\frac{704}{1144}$$
$$\frac{1805+704}{1144}$$
$$\frac{2509}{1144}$$
$$\frac{193}{88}$$
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$\frac{193}{2 ^ {3} \cdot 11} = 2\frac{17}{88} = 2.1931818181818183$
