Answer :
[tex]\frac{9}{4}:\frac{3}{16}=\ \ \ \ | multiply\ first\ fraction\ by\ inverse\ of\ the\ second\\\\
\frac{9}{4}*\frac{16}{3}=\frac{3*4}{4}=3\\\\Solution\ is\ 3.[/tex]
[tex]\dfrac{9}{4}\div\dfrac{3}{16}=\dfrac{9}{4}\cdot\dfrac{16}{3}=3\cdot4=12[/tex]