[tex]2 \frac{1}{3} - ( 3+ 2 \frac{1}{2} -5) : \frac{5}{6}= \frac{7}{3} -( \frac{5}{2} -2) : \frac{5}{6} =\\ \\ = \frac{7}{3} - \frac{5-4}{2} * \frac{6}{5} = \frac{7}{3} - \frac{1}{2} * \frac{6}{5} = \\ \\ =\frac{7}{3} - \frac{3}{5} = \frac{ 35-9}{15} = \\ \\ = \boxed{ \frac{26}{15}}[/tex]
