6) - 11 2/3 : (-3 1/9)

6) $$-11 \frac{2}{3} : (-3 \frac{1}{9}) = - \frac{35}{3} : ( - \frac{28}{9} ) = - \frac{35}{3} \cdot ( - \frac{9}{28} ) = \frac{35}{3} \cdot \frac{9}{28} = \frac{5}{1} \cdot \frac{3}{4} = \frac{15}{4} = 3 \frac{3}{4}$$.

Ответ: $$3 \frac{3}{4}$$