$$(8\frac{1}{3}+5\frac{1}{2})\cdot(3\frac{1}{5}-2\frac{1}{10})$$
$\frac{913}{60}\approx 15.216666667$
$$\left(\frac{24+1}{3}+\frac{5\times 2+1}{2}\right)\left(\frac{3\times 5+1}{5}-\frac{2\times 10+1}{10}\right)$$
$$\left(\frac{25}{3}+\frac{5\times 2+1}{2}\right)\left(\frac{3\times 5+1}{5}-\frac{2\times 10+1}{10}\right)$$
$$\left(\frac{25}{3}+\frac{10+1}{2}\right)\left(\frac{3\times 5+1}{5}-\frac{2\times 10+1}{10}\right)$$
$$\left(\frac{25}{3}+\frac{11}{2}\right)\left(\frac{3\times 5+1}{5}-\frac{2\times 10+1}{10}\right)$$
$$\left(\frac{50}{6}+\frac{33}{6}\right)\left(\frac{3\times 5+1}{5}-\frac{2\times 10+1}{10}\right)$$
$$\frac{50+33}{6}\left(\frac{3\times 5+1}{5}-\frac{2\times 10+1}{10}\right)$$
$$\frac{83}{6}\left(\frac{3\times 5+1}{5}-\frac{2\times 10+1}{10}\right)$$
$$\frac{83}{6}\left(\frac{15+1}{5}-\frac{2\times 10+1}{10}\right)$$
$$\frac{83}{6}\left(\frac{16}{5}-\frac{2\times 10+1}{10}\right)$$
$$\frac{83}{6}\left(\frac{16}{5}-\frac{20+1}{10}\right)$$
$$\frac{83}{6}\left(\frac{16}{5}-\frac{21}{10}\right)$$
$$\frac{83}{6}\left(\frac{32}{10}-\frac{21}{10}\right)$$
$$\frac{83}{6}\times \frac{32-21}{10}$$
$$\frac{83}{6}\times \frac{11}{10}$$
$$\frac{83\times 11}{6\times 10}$$
$$\frac{913}{60}$$
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$\frac{11 \cdot 83}{2 ^ {2} \cdot 3 \cdot 5} = 15\frac{13}{60} = 15.216666666666667$