\[5\frac{1}{3} - 3,2 = 5\frac{1}{3} - \frac{32}{10} =\]
\[= \frac{16^{\backslash 5}}{3} - \frac{16^{\backslash 3}}{5} = \frac{80 - 48}{15} =\]
\[= \frac{32}{15} = 2\frac{2}{15}.\]