Here is your equation:
[tex] \frac{9}{11} \div \frac{5}{11} = a \frac{b}{c} [/tex]
When you're going to be dividing fractions, you have to keep, change, and flip.
[tex] Keep\ \frac{9}{11} \\ Change\ \div\ to\ \times \\ Flip\ \frac{5}{11} = \frac{11}{5} [/tex]
Your new equation is:
[tex] \frac{9}{11} \times \frac{11}{5} [/tex]
Multiply:
[tex] \frac{9}{11} \times \frac{11}{5} = \frac{99}{55} = 1 \frac{44}{55} \rightarrow 1 \frac{4}{5} [/tex]
Your answer is:
[tex] 1 \frac{4}{5} \\ a = 1 \\ b = 4 \\ c = 5 [/tex]
