$$8\frac{1}{3}-2\frac{5}{8}$$
$\frac{137}{24}\approx 5.708333333$
$$\frac{24+1}{3}-\frac{2\times 8+5}{8}$$
$$\frac{25}{3}-\frac{2\times 8+5}{8}$$
$$\frac{25}{3}-\frac{16+5}{8}$$
$$\frac{25}{3}-\frac{21}{8}$$
$$\frac{200}{24}-\frac{63}{24}$$
$$\frac{200-63}{24}$$
$$\frac{137}{24}$$
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$\frac{137}{2 ^ {3} \cdot 3} = 5\frac{17}{24} = 5.708333333333333$
