\[- \frac{6}{7} \cdot \left( - 2\frac{13}{18} \right) = \frac{6}{7} \cdot \frac{49}{18} =\]
\[= \frac{6 \cdot 7 \cdot 7}{7 \cdot 6 \cdot 3} = \frac{7}{3} = 2\frac{1}{3}\]