Respuesta :

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.