$$\frac{3}{4}+\frac{4}{21}+\frac{7}{8}+\frac{8}{7}$$
$\frac{71}{24}\approx 2.958333333$
$$\frac{63}{84}+\frac{16}{84}+\frac{7}{8}+\frac{8}{7}$$
$$\frac{63+16}{84}+\frac{7}{8}+\frac{8}{7}$$
$$\frac{79}{84}+\frac{7}{8}+\frac{8}{7}$$
$$\frac{158}{168}+\frac{147}{168}+\frac{8}{7}$$
$$\frac{158+147}{168}+\frac{8}{7}$$
$$\frac{305}{168}+\frac{8}{7}$$
$$\frac{305}{168}+\frac{192}{168}$$
$$\frac{305+192}{168}$$
$$\frac{497}{168}$$
$$\frac{71}{24}$$
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$\frac{71}{2 ^ {3} \cdot 3} = 2\frac{23}{24} = 2.9583333333333335$
