\[\boxed{\text{5.481.}}\]
\[\textbf{а)}\ \frac{4}{5} + \frac{1}{9} + \frac{2}{3} = \frac{36}{45} + \frac{5}{45} + \frac{30}{45} =\]
\[= \frac{71}{45} = 1\frac{26}{45}\]
\[\textbf{б)}\ \frac{7}{9} - \frac{3}{5} + \frac{1}{3} = \frac{35}{45} - \frac{27}{45} + \frac{15}{45} =\]
\[= \frac{23}{45}\]
\[\textbf{в)}\ \frac{2}{15} + \left( \frac{7}{15} - \frac{1}{5} \right) =\]
\[= \frac{2}{15} + \frac{7}{15} - \frac{3}{15} = \frac{6}{15} = \frac{2}{5}\]