[tex] \frac{17}{9} \div ( \frac{11}{ {6}^{2} } - \frac{17}{9} ) = \frac{17}{9} \div ( \frac{11}{36} - \frac{17}{9}) = \frac{17}{9} \div ( \frac{11}{36} - \frac{68}{36}) = \frac{17}{9} \div ( - \frac{57}{36} ) = \frac{17}{9} \times ( - \frac{36}{57} ) = - \frac{68}{57} [/tex]