Answer:
C) [tex]8\frac{7}{16}[/tex]
Step-by-step explanation:
Change the mixed fraction into an improper fraction so its easier to solve the expression.
[tex]3\frac{3}{4}[/tex] → [tex]\frac{15}{4}[/tex]
Now to divide the fractions, flip the second term and multiply that by the first term.
[tex]\frac{15}{4}[/tex] ÷ [tex]\frac{4}{9}[/tex] → [tex]\frac{15}{4}[/tex] × [tex]\frac{9}{4}[/tex]
[tex]\frac{15}{4}[/tex] × [tex]\frac{9}{4}[/tex] = [tex]\frac{135}{16}[/tex]
Then change that improper fraction into a mixed fraction.
[tex]\frac{135}{16}[/tex] → [tex]8\frac{7}{16}[/tex]
Hope this helps! I apologize if I'm incorrect.