As easy as A-B-C!

Algebra Level 4

Consider the real numbers \(A,B,C............Z\) such that: \(EVIL\)=\(\frac{5}{31}\) , \(LOVE\)=\(\frac{6}{29}\) and \(IMO\)=\(\frac{7}{3}\).

If \(OMO\)=\(\frac{m}{n}\) where \(m\) and \(n\) are relatively prime positive integers. Find the value of \(m+n\).

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