\[\boxed{\text{5.539.}}\]
\[\textbf{а)}\ \frac{6}{13} \cdot \frac{39}{2} = \frac{3 \cdot 3}{1 \cdot 1} = 9\]
\[\textbf{б)}\ \frac{21}{11} \cdot \frac{22}{3} = \frac{7 \cdot 2}{1 \cdot 1} = 14\]
\[\textbf{в)}\ \left( \frac{3}{10} + \frac{1}{2} \right) \cdot \frac{3}{2} =\]
\[= \left( \frac{3}{10} + \frac{5}{10} \right) \cdot \frac{3}{2} = \frac{8}{10} \cdot \frac{3}{2} =\]
\[= \frac{4 \cdot 3}{10} = \frac{12}{10} = 1\frac{2}{10} = 1\frac{1}{5}\]