$$[5\frac{3}{8}\times\{\frac{3}{8}+\underline{]}(\frac{3}{4}\div\frac{5}{7}\times\frac{3}{2})\}]$$
$\frac{903}{320}=2.821875$
$$\frac{40+3}{8}\left(\frac{3}{8}+\frac{1}{2}\times \frac{\frac{3}{4}}{\frac{5}{2}}\right)$$
$$\frac{43}{8}\left(\frac{3}{8}+\frac{1}{2}\times \frac{\frac{3}{4}}{\frac{5}{2}}\right)$$
$$\frac{43}{8}\left(\frac{3}{8}+\frac{1}{2}\times \frac{3}{4}\times \frac{2}{5}\right)$$
$$\frac{43}{8}\left(\frac{3}{8}+\frac{1}{2}\times \frac{3\times 2}{4\times 5}\right)$$
$$\frac{43}{8}\left(\frac{3}{8}+\frac{1}{2}\times \frac{6}{20}\right)$$
$$\frac{43}{8}\left(\frac{3}{8}+\frac{1}{2}\times \frac{3}{10}\right)$$
$$\frac{43}{8}\left(\frac{3}{8}+\frac{1\times 3}{2\times 10}\right)$$
$$\frac{43}{8}\left(\frac{3}{8}+\frac{3}{20}\right)$$
$$\frac{43}{8}\left(\frac{15}{40}+\frac{6}{40}\right)$$
$$\frac{43}{8}\times \frac{15+6}{40}$$
$$\frac{43}{8}\times \frac{21}{40}$$
$$\frac{43\times 21}{8\times 40}$$
$$\frac{903}{320}$$
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$\frac{3 \cdot 7 \cdot 43}{2 ^ {6} \cdot 5} = 2\frac{263}{320} = 2.821875$
