2010 Fermat Problem 8

A rectangle is divided into two vertical strips of equal width. The strip on the left is divided into three equal parts and the strip on the right is divided into four equal parts. Parts of the rectangle are then shaded as shown. What fraction of the original rectangle is shaded?

\textbf{(A)}\ \frac{3}{5}\quad \textbf{(B)}\ \frac{2}{7}\quad \textbf{(C)}\ \frac{4}{7}\quad \textbf{(D)}\ \frac{7}{6}\quad \textbf{(E)}\ \frac{7}{12}

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 Fermat contests here.