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:
[tex]4\cdot4=16[/tex]
Then, the factor that is multiplying the fraction is 4, and as the new fraction has to be equivalent, then...
[tex]\frac{9}{4}\cdot\frac{4}{4}=\frac{36}{16}[/tex]
Answer: 36
