[tex] \frac{\ \ \: [0.(17) - \frac{2}{3}\ ] : \frac{1}{11} }{\ [2.(6) - 1\ \ ]\cdot( - \frac{1}{3}) } \\ \\ = \frac{ (\frac{17}{9} - \frac{2}{3} ) : \frac{1}{11} }{(2 \frac{6}{9} - 1)\cdot( - \frac{ 1 }{3} )} \\ \\ = \frac{ \frac{17 - 6}{9} \times 11 }{( \frac{24}{9} - 1)( - \frac{1}{3} )} \\ \\ = \frac{ \frac{11}{9} \times 11}{ (\frac{8}{3} - 1)( - \frac{1}{3}) } \\ \\ = \frac{ \frac{121}{9} }{ \frac{8 - 3}{3} \cdot( - \frac{1}{3}) } \\ \\ = \frac{ \frac{121}{\not9} }{ - \frac{5}{\not9} } \\ \\ = \frac{121}{ - 5} \\ \\ = - \frac{121}{5} [/tex]