[tex]-2\frac{2}{3}\ divided\ by\ \frac{3}{8}\ \ \ \ |Convert\ -2\frac{2}{3}\ into\ improper\ fraction\\\\
-\frac{8}{3}\ \ divided\ by\ \frac{3}{8}\ \ \ \ |Multiply\ first\ fraction\ by\ inverse\ of\ the\\ second\\\\
-\frac{8}{3}*\frac{8}{3}=\boxed{-\frac{64}{9}}[/tex]