\[\boxed{\text{4.\ 309}}\]
\[\textbf{а)} - \frac{7}{9}\ :\frac{2}{3} = - \frac{7}{9} \cdot \frac{3}{2} = - \frac{7}{6} = - 1\frac{1}{6}\]
\[\textbf{б)} - \frac{3}{13}\ :\left( - \frac{9}{26} \right) = \frac{3}{13} \cdot \frac{26}{9} = \frac{2}{3}\]
\[\textbf{в)}\ \frac{16}{35}\ :\left( - \frac{4}{25} \right) = - \frac{16}{35} \cdot \frac{25}{4} =\]
\[= - \frac{4 \cdot 5}{7} = - \frac{20}{7} = - 2\frac{6}{7}\]
\[\textbf{г)} - \frac{5}{8}\ :\left( - \frac{15}{64} \right) = \frac{5}{8} \cdot \frac{64}{15} = \frac{8}{3} =\]
\[= 2\frac{2}{3}\]
\[\textbf{д)}\ \frac{4}{5}\ :( - 16) = - \frac{4}{5 \cdot 16} =\]
\[= - \frac{1}{20} = - 0,05\]
\[\textbf{е)} - 9\ :\frac{9}{11} = - \frac{9 \cdot 11}{9} = - 11\]