Simple...
you have: Ayita has [tex]5 \frac{1}{2} [/tex] cups of trail mix and she wants to divide it into [tex] \frac{3}{4} [/tex] cup of servings-->>
So..
[tex]5 \frac{1}{2}[/tex]÷[tex] \frac{3}{4} [/tex]
Change [tex]5 \frac{1}{2} [/tex] into an improper fraction...
=[tex] \frac{11}{2} [/tex]
Leaving you with...
[tex] \frac{11}{2} [/tex]÷[tex] \frac{3}{4} [/tex]
But, remember, you cannot divide fractions; you must find the reciprocal and then multiply the improper fractions-->>
[tex] \frac{11}{2} * \frac{4}{3} = \frac{44}{6} = \frac{22}{3} [/tex]
But, you're still not done convert [tex] \frac{22}{3} [/tex] to a mixed number-->>
[tex]7 \frac{1}{3} [/tex]
Thus, your answer.