✏ [tex]( \frac{ {}^{9)} 3}{4} + \frac{ {}^{4)} 2}{9} - \frac{8}{9} \times \frac{7}{8} ) \div \frac{1}{6} = \\ [/tex]
[tex] = ( \frac{27 + 8}{ 36} - \frac{ {}^{4)} 7}{9} ) \div \frac{1}{6} = \\ = ( \frac{35}{36} - \frac{28}{36} ) \div \frac{1}{6} = \\ = \frac{7}{36} \div \frac{1}{6} = \\ = \frac{7}{ \not{36} } \times \frac{ \not{6} }{1} = \\ = \frac{7}{1} = \\ = \boxed{7} [/tex]