\[5\frac{1}{3}\ :2\frac{2}{9} = \frac{15 + 1}{3}\ :\frac{18 + 2}{9} =\]
\[= \frac{16}{3}\ :\frac{20}{9} = \frac{16 \cdot 9}{3 \cdot 20} = \frac{12}{5} = 2,4\]