[tex]\\\\\\
( \frac{9}{2}- \frac{2}{4} * \frac{5}{9} :( \frac{ \frac{5}{4} }{2})) : \frac{2}{2} =\\\\
=(\frac{9}{2}- \frac{10}{36} : \frac{5}{4}: \frac{2}{1} ) :1
\\\\
=(\frac{9}{2}-\frac{10}{36}* \frac{4}{5} * \frac{1}{2} ):1\\\\
=(\frac{9}{2}- \frac{40}{540} ):1\\\\
=(\frac{9}{2}- \frac{2}{27} ):1\\\\
=\frac{243-4}{54}:1\\\\
=\frac{239}{54}[/tex]
