Ответ:

[tex]\frac{13}{15}[/tex]

Пошаговое объяснение:

[tex]0,9(1\frac{5}{9} -\frac{4}{9} :(\frac{5}{8} +\frac{3}{8} :3)) = \frac{9}{10} (\frac{14}{9}-\frac{4}{9} : (\frac{5}{8}+ \frac{3}{8}* \frac{1}{3} )) = \frac{9}{10} (\frac{14}{9}- \frac{4}{9}:(\frac{5}{8} +\frac{1}{8})) = \frac{9}{10} (\frac{14}{9}- \frac{4}{9} :\frac{3}{4})=\frac{9}{10} (\frac{14}{9}- \frac{4}{9} *\frac{4}{3})=\frac{9}{10} (\frac{14}{9}- \frac{16}{27})=\frac{9}{10} (\frac{42}{27}- \frac{16}{27}) = \frac{9}{10} *\frac{26}{27} = \frac{1}{5} *\frac{13}{3} = \frac{13}{15}[/tex]