$$2\frac{5}{6}\times\frac{30}{51}\div\frac{6}{17}$$
$\frac{85}{18}\approx 4.722222222$
$$\frac{\frac{12+5}{6}\times \frac{30}{51}}{\frac{6}{17}}$$
$$\frac{\frac{17}{6}\times \frac{30}{51}}{\frac{6}{17}}$$
$$\frac{\frac{17}{6}\times \frac{10}{17}}{\frac{6}{17}}$$
$$\frac{\frac{17\times 10}{6\times 17}}{\frac{6}{17}}$$
$$\frac{\frac{10}{6}}{\frac{6}{17}}$$
$$\frac{\frac{5}{3}}{\frac{6}{17}}$$
$$\frac{5}{3}\times \frac{17}{6}$$
$$\frac{5\times 17}{3\times 6}$$
$$\frac{85}{18}$$
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$\frac{5 \cdot 17}{2 \cdot 3 ^ {2}} = 4\frac{13}{18} = 4.722222222222222$
