$$\frac{124}{128}+\frac{120}{124}+\frac{110}{116}$$
$\frac{82989}{28768}\approx 2.884767798$
$$\frac{31}{32}+\frac{120}{124}+\frac{110}{116}$$
$$\frac{31}{32}+\frac{30}{31}+\frac{110}{116}$$
$$\frac{961}{992}+\frac{960}{992}+\frac{110}{116}$$
$$\frac{961+960}{992}+\frac{110}{116}$$
$$\frac{1921}{992}+\frac{110}{116}$$
$$\frac{1921}{992}+\frac{55}{58}$$
$$\frac{55709}{28768}+\frac{27280}{28768}$$
$$\frac{55709+27280}{28768}$$
$$\frac{82989}{28768}$$
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$\frac{3 ^ {2} \cdot 9221}{2 ^ {5} \cdot 29 \cdot 31} = 2\frac{25453}{28768} = 2.8847677975528363$