$$[\frac{43}{8}\times\{\frac{3}{8}+\frac{1}{2}(\frac{3}{4}\div\frac{5}{7}\times\frac{3}{2})\}]$$
$\frac{3999}{640}=6.2484375$
$$\frac{43}{8}\left(\frac{3}{8}+\frac{1}{2}\times \frac{3}{4}\times \frac{7}{5}\times \frac{3}{2}\right)$$
$$\frac{43}{8}\left(\frac{3}{8}+\frac{1}{2}\times \frac{3\times 7}{4\times 5}\times \frac{3}{2}\right)$$
$$\frac{43}{8}\left(\frac{3}{8}+\frac{1}{2}\times \frac{21}{20}\times \frac{3}{2}\right)$$
$$\frac{43}{8}\left(\frac{3}{8}+\frac{1\times 21}{2\times 20}\times \frac{3}{2}\right)$$
$$\frac{43}{8}\left(\frac{3}{8}+\frac{21}{40}\times \frac{3}{2}\right)$$
$$\frac{43}{8}\left(\frac{3}{8}+\frac{21\times 3}{40\times 2}\right)$$
$$\frac{43}{8}\left(\frac{3}{8}+\frac{63}{80}\right)$$
$$\frac{43}{8}\left(\frac{30}{80}+\frac{63}{80}\right)$$
$$\frac{43}{8}\times \frac{30+63}{80}$$
$$\frac{43}{8}\times \frac{93}{80}$$
$$\frac{43\times 93}{8\times 80}$$
$$\frac{3999}{640}$$
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$\frac{3 \cdot 31 \cdot 43}{2 ^ {7} \cdot 5} = 6\frac{159}{640} = 6.2484375$