Data:
\(( \frac{11}{5}) * (\frac{x}{ -\frac{1}{9} } ) = \frac{2}{5}\)
Solving:
\(( \frac{11}{5}) * (\frac{x}{ -\frac{1}{9} } ) = \frac{2}{5}\)
\(( \frac{11}{5}) * (x* \frac{-9}{1} ) = \frac{2}{5}\)
\(( \frac{11}{5}) * (\frac{-9x}{1} ) = \frac{2}{5}\)
\(\frac{-99x}{5} = \frac{2}{5}\)
Product of extremes equals product of means:
\(-99x*5 = 5*2\)
\(-495x = 10\) simplify by (-1)
\(495x = - 10\)
\(x = \frac{-10}{495}\:simplify\: \frac{\div5}{\div5} \to \boxed{\boxed{x = \frac{-2}{99}}}\)
or
\(x = -0.020202... \to \boxed{\boxed{x = - 0.0\overline{20}}}\)
