Here is the equation:
[tex] 4 \frac{1}{2} \div 1 \frac{1}{4} = a \frac{b}{c} [/tex]
When you're going to be dividing fractions, you have to keep, change, and flip. Also, make sure you make the fractions improper when it's a mixed number.
[tex] 4 \frac{1}{2} = \frac{9}{2} [/tex]
[tex] 1 \frac{1}{4} = \frac{5}{4} [/tex]
Now keep, change, flip
[tex] Keep\ \frac{9}{2} \\ Change \div to\ \times \\ Flip\ \frac{5}{4} = \frac{4}{5} [/tex]
Your new equation is:
[tex] \frac{9}{2} \times \frac{4}{5} [/tex]
Multiply:
[tex] \frac{9}{2} \times \frac{4}{5} = \frac{36}{10} = 3 \frac{6}{10} \rightarrow 3 \frac{3}{5} [/tex]
Your answer is:
[tex] 3 \frac{3}{5} \\ a = 3 \\ b = 3 \\ c = 5 [/tex]
