In \(\triangle ABC\), we have \(AB = 25\), \(BC = 39\), and \(AC=42\). Points \(D\) and \(E\) are on \(AB\) and \(AC\) respectively, with \(AD = 19\) and \(AE = 14\). Find the ratio of the area of triangle \(ADE\) to the area of the quadrilateral \(BCED\). The original answer is in \(\frac{k}{m}\) format, please give the value of k + m.

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