$$(3\frac{1}{5}+8\frac{1}{3})\cdot(5\frac{1}{2}-2\frac{1}{10})$$
$\frac{2941}{75}\approx 39.213333333$
$$\left(\frac{15+1}{5}+\frac{8\times 3+1}{3}\right)\left(\frac{5\times 2+1}{2}-\frac{2\times 10+1}{10}\right)$$
$$\left(\frac{16}{5}+\frac{8\times 3+1}{3}\right)\left(\frac{5\times 2+1}{2}-\frac{2\times 10+1}{10}\right)$$
$$\left(\frac{16}{5}+\frac{24+1}{3}\right)\left(\frac{5\times 2+1}{2}-\frac{2\times 10+1}{10}\right)$$
$$\left(\frac{16}{5}+\frac{25}{3}\right)\left(\frac{5\times 2+1}{2}-\frac{2\times 10+1}{10}\right)$$
$$\left(\frac{48}{15}+\frac{125}{15}\right)\left(\frac{5\times 2+1}{2}-\frac{2\times 10+1}{10}\right)$$
$$\frac{48+125}{15}\left(\frac{5\times 2+1}{2}-\frac{2\times 10+1}{10}\right)$$
$$\frac{173}{15}\left(\frac{5\times 2+1}{2}-\frac{2\times 10+1}{10}\right)$$
$$\frac{173}{15}\left(\frac{10+1}{2}-\frac{2\times 10+1}{10}\right)$$
$$\frac{173}{15}\left(\frac{11}{2}-\frac{2\times 10+1}{10}\right)$$
$$\frac{173}{15}\left(\frac{11}{2}-\frac{20+1}{10}\right)$$
$$\frac{173}{15}\left(\frac{11}{2}-\frac{21}{10}\right)$$
$$\frac{173}{15}\left(\frac{55}{10}-\frac{21}{10}\right)$$
$$\frac{173}{15}\times \frac{55-21}{10}$$
$$\frac{173}{15}\times \frac{34}{10}$$
$$\frac{173}{15}\times \frac{17}{5}$$
$$\frac{173\times 17}{15\times 5}$$
$$\frac{2941}{75}$$
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$\frac{17 \cdot 173}{3 \cdot 5 ^ {2}} = 39\frac{16}{75} = 39.21333333333333$
