\[4\frac{4^{\backslash 5}}{7} - 2\frac{3^{\backslash 7}}{5} = 4\frac{20}{35} - 2\frac{21}{35} =\]
\[= 3\frac{55}{35} - 2\frac{21}{35} = 1\frac{34}{35}.\]