[tex]( \frac{1}{2} + \frac{4}{9} - \frac{1}{4} ) : \frac{1}{6} = ( \frac{9}{18} + \frac{8}{18} - \frac{1}{4}) : \frac{1}{6} = ( \frac{17}{18} - \frac{1}{4}) : \frac{1}{6} = ( \frac{34}{36} - \frac{9}{36} ) : \frac{1}{6} =\frac{25}{36} : \frac{1}{6}[/tex][tex]=\frac{25}{36} * \frac{6}{1} = \frac{25}{6}[/tex]
