\[\left( 8\frac{7}{12} - 2\frac{17}{36} \right) \cdot \frac{27}{10} - \frac{13}{3}\ :\frac{13}{20} =\]
\[= \frac{220}{36} \cdot \frac{27}{10} - \frac{13 \cdot 20}{3 \cdot 13} = \frac{33}{2} - \frac{20}{3} =\]
\[= \frac{99}{6} - \frac{40}{6} = \frac{59}{6} = 9\frac{5}{6}\]