ABCD is a plate in the shape of a parallelogram. EF is the line parallel to DA and passing through the point of intersection O of the diagonals AC and BD. Further, E lies on DC and F lies on AB. The triangular portion DOE is cut out from the plate ABCD. What is the ratio of area of remaining portion of the plate to the whole?
1
\(\frac{5}{8}\)
2
\(\frac{5}{7}\)
3
\(\frac{3}{4}\)
4
\(\frac{7}{8}\)