2009 Pascal Problem 12

If Francis spends \frac{1}{3} of his day sleeping, \frac{1}{4} of his day studying and \frac{1}{8} of his day eating, how many hours in the day does he have left?

\textbf{(A)}\ 4\quad \textbf{(B)}\ 6\quad \textbf{(C)}\ 5\quad \textbf{(D)}\ 7\quad \textbf{(E)}\ 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 Pascal contests here.