Ok, so the first thing you are going to do is change the division sign Into a multiplication sign. Then, you are going to flip 1/9. That will become 9/1.
[tex] \\ \frac{5}{6}* \frac{9}{1}= \frac{45}{6} \\
\\ \frac{45}{6}=\boxed{7 \frac{3}{4}} \\ [/tex]