\[5\frac{7^{\backslash 3}}{8} - 2\frac{2^{\backslash 8}}{3} + 4\frac{5^{\backslash 4}}{6} =\]
\[= 7\ \frac{21 - 16 + 20}{24} = 7\frac{25}{24} = 8\frac{1}{24}\]