\[\boxed{\text{5.417.}}\]
\[\textbf{а)}\ \frac{1}{6} + \frac{1}{15} + \frac{5}{6} + \frac{2}{15} =\]
\[= \left( \frac{1}{6} + \frac{5}{6} \right) + \left( \frac{1}{15} + \frac{2}{15} \right) =\]
\[= 1 + \frac{3}{15} = 1 + \frac{1}{5} = 1\frac{1}{5}\ \]
\[\textbf{б)}\ \frac{7}{13} + \frac{2}{5} + \frac{3}{10} + \frac{6}{13} =\]
\[= \left( \frac{7}{13} + \frac{6}{13} \right) + \left( \frac{2}{5} + \frac{3}{10} \right) =\]
\[= 1 + \left( \frac{4}{10} + \frac{3}{10} \right) =\]
\[= 1 + \frac{7}{10} = 1\frac{7}{10}\ \]