[tex] \frac{111}{13} \div ( \frac{11}{9} + \frac{7}{6} \times \frac{22}{3} ) = \\ \frac{111}{13} \div ( \frac{11}{9} + \frac{7}{3} \times \frac{11}{3} ) = \\ \frac{111}{13} \div ( \frac{11}{9} + \frac{77}{9} ) = \\ \frac{111}{13} \div \frac{88}{9} = \\ \frac{111}{13} \times \frac{9}{8} [/tex]
