Setting up your question as an equation becomes:
[tex] quotient=a\ number*\frac{2}{3}=\frac{-9}{10}[/tex]
Change the words to variables and solve:
[tex] x *\frac{2}{3}=\frac{-9}{10}\\\\(\frac{3}{2})(x*\frac{2}{3})=(\frac{-9}{10})(\frac{3}{2})\\\\x=\frac{-9*3}{10*2}=\frac{-27}{20}[/tex]
Thus your answer is -27/20 in improper form, -1 7/20 in mixed form, and 1.35 in decimal form.
