\[\boxed{\text{5.540.}}\]
\[\textbf{а)}\ \frac{5}{4}\ :\frac{2}{15} = \frac{5}{4} \cdot \frac{15}{2} = \frac{75}{8} = 9\frac{3}{8}\]
\[\textbf{б)}\ \frac{2}{3}\ :\frac{8}{9} = \frac{2}{3} \cdot \frac{9}{8} = \frac{3}{4}\]
\[\textbf{в)}\ \frac{64}{131}\ :\frac{32}{52} = \frac{64}{131} \cdot \frac{52}{32} = \frac{104}{131}\]
\[\textbf{г)}\ \frac{64}{125}\ :4 = \frac{64}{125} \cdot \frac{1}{4} = \frac{16}{125}\]
\[\textbf{д)}\ 9\ :\frac{3}{4} = 9 \cdot \frac{4}{3} = 3 \cdot 4 = 12\]
\[\textbf{е)}\ 9\ :4 = \frac{9}{4} = 2\frac{1}{4}\]