\[5\frac{7^{\backslash 3}}{8} - 3\frac{5^{\backslash 4}}{6} = 5\frac{7 \cdot 3}{24} - 3\frac{5 \cdot 4}{6} =\]
\[= 5\frac{21}{24} - 3\frac{20}{24} = 2\frac{1}{24}\text{.\ \ \ }\]