\[5 - 4\frac{1}{3}\ :3 = 5 - \frac{13}{3} \cdot \frac{1}{3} = 5 - \frac{13}{9} =\]
\[= 5 - 1\frac{4}{9} = 4\frac{9}{9} - 1\frac{4}{9} = 3\frac{5}{9}\]