We need to find how many quarters of a cup can fit into an 8/9 cup. Therefore, we need to divide 8/9 by 1/4, as shown below
[tex]\frac{\frac{8}{9}}{\frac{1}{4}}=\frac{8\cdot4}{9}=\frac{32}{9}=3+\frac{5}{9}[/tex]The answer is the third option (top to bottom)