\[- 6\frac{3}{4} \cdot \left( - 1\frac{11}{45} \right) = \frac{27 \cdot 56}{4 \cdot 45} = \frac{3 \cdot 14}{1 \cdot 5} =\]
\[= \frac{42}{5} = 8\frac{2}{5} = 8,4.\]