2012 Cayley Problem 6

A basket contains 12 apples, 15 bananas and no other fruit. If 3 more bananas are added to the basket, what fraction of the fruit in the basket will be bananas?

\textbf{(A)}\ \frac{2}{5}\quad \textbf{(B)}\ \frac{1}{3}\quad \textbf{(C)}\ \frac{3}{5}\quad \textbf{(D)}\ \frac{4}{9}\quad \textbf{(E)}\ \frac{5}{9}

If there are no answer choices shown, enter a numerical answer.

Full credit to this problem is given to the CEMC, you may view all Cayley contests here.