$$\frac{2}{3}+\frac{5}{8}+\frac{3}{4}+\frac{4}{8}$$
$\frac{61}{24}\approx 2.541666667$
$$\frac{16}{24}+\frac{15}{24}+\frac{3}{4}+\frac{4}{8}$$
$$\frac{16+15}{24}+\frac{3}{4}+\frac{4}{8}$$
$$\frac{31}{24}+\frac{3}{4}+\frac{4}{8}$$
$$\frac{31}{24}+\frac{18}{24}+\frac{4}{8}$$
$$\frac{31+18}{24}+\frac{4}{8}$$
$$\frac{49}{24}+\frac{4}{8}$$
$$\frac{49}{24}+\frac{1}{2}$$
$$\frac{49}{24}+\frac{12}{24}$$
$$\frac{49+12}{24}$$
$$\frac{61}{24}$$
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$\frac{61}{2 ^ {3} \cdot 3} = 2\frac{13}{24} = 2.5416666666666665$