$6,5:2-\frac{1}{3}:\frac{2}{3}+6\frac{1}{6}\cdot \left(3,5-3\frac{1}{3}\right)=3,25-0,5+6\frac{1}{6}\cdot \frac{1}{6}=2,75+\frac{37}{36}=3\frac{7}{9}$