Equivalent fraction: fractions with different numerators and denominators but equal to the same value.
As the given denominator is 16, we have to know that:
![4\cdot4=16](https://img.qammunity.org/2023/formulas/mathematics/college/4ugg841tc06qkscezy73o46ru3n1amjflw.png)
Then, the factor that is multiplying the fraction is 4, and as the new fraction has to be equivalent, then...
![(9)/(4)\cdot(4)/(4)=(36)/(16)](https://img.qammunity.org/2023/formulas/mathematics/college/w5tygvvn66yn06ijx01sizt97zmwpvwfpq.png)
Answer: 36