In the cube \(ABCDEFGH\) with opposite vertices \(C\) and \(E,\) \(J\) and \(I\) are the midpoints of segments \(\overline{FB}\) and \(\overline{HD},\) respectively. Let \(R\) be the ratio of the area of the cross-section \(EJCI\) to the area of one of the faces of the cube. The original answer is in \(\frac{k}{m}\) format. Please find the value of \(k + m\).

Let's think step by step and output the final answer within \boxed{}.
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