\[\boxed{\text{5.535.}}\]
\[\textbf{а)}\ \frac{1}{3} \cdot \frac{3}{7} = \frac{1}{7}\]
\[\textbf{б)}\ \frac{1}{18} \cdot \frac{3}{5} = \frac{1}{6 \cdot 5} = \frac{1}{30}\]
\[\textbf{в)}\ \frac{1}{3} \cdot \frac{3}{4} = \frac{1}{4}\]
\[\textbf{г)}\ \frac{2}{3} \cdot \frac{6}{11} = \frac{4}{11}\]
\[\textbf{д)}\ \left( \frac{1}{5} + \frac{1}{20} \right) \cdot \frac{4}{5} = \frac{1}{5} \cdot \frac{4}{5} + \frac{1}{20} \cdot \frac{4}{5} =\]
\[= \frac{4}{25} + \frac{1}{25} = \frac{5}{25} = \frac{1}{5}\]
\[\textbf{е)}\ \left( \frac{1}{3} - \frac{1}{4} \right) \cdot 12 =\]
\[= \frac{1}{3} \cdot 12 - \frac{1}{4} \cdot 12 = 4 - 3 = 1\]