$$2\frac{4}{6}+3\frac{6}{7}+4\frac{5}{7}+3\frac{2}{3}$$
$\frac{313}{21}\approx 14.904761905$
$$\frac{12+4}{6}+\frac{3\times 7+6}{7}+\frac{4\times 7+5}{7}+\frac{3\times 3+2}{3}$$
$$\frac{16}{6}+\frac{3\times 7+6}{7}+\frac{4\times 7+5}{7}+\frac{3\times 3+2}{3}$$
$$\frac{8}{3}+\frac{3\times 7+6}{7}+\frac{4\times 7+5}{7}+\frac{3\times 3+2}{3}$$
$$\frac{8}{3}+\frac{21+6}{7}+\frac{4\times 7+5}{7}+\frac{3\times 3+2}{3}$$
$$\frac{8}{3}+\frac{27}{7}+\frac{4\times 7+5}{7}+\frac{3\times 3+2}{3}$$
$$\frac{56}{21}+\frac{81}{21}+\frac{4\times 7+5}{7}+\frac{3\times 3+2}{3}$$
$$\frac{56+81}{21}+\frac{4\times 7+5}{7}+\frac{3\times 3+2}{3}$$
$$\frac{137}{21}+\frac{4\times 7+5}{7}+\frac{3\times 3+2}{3}$$
$$\frac{137}{21}+\frac{28+5}{7}+\frac{3\times 3+2}{3}$$
$$\frac{137}{21}+\frac{33}{7}+\frac{3\times 3+2}{3}$$
$$\frac{137}{21}+\frac{99}{21}+\frac{3\times 3+2}{3}$$
$$\frac{137+99}{21}+\frac{3\times 3+2}{3}$$
$$\frac{236}{21}+\frac{3\times 3+2}{3}$$
$$\frac{236}{21}+\frac{9+2}{3}$$
$$\frac{236}{21}+\frac{11}{3}$$
$$\frac{236}{21}+\frac{77}{21}$$
$$\frac{236+77}{21}$$
$$\frac{313}{21}$$
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$\frac{313}{3 \cdot 7} = 14\frac{19}{21} = 14.904761904761905$
