Parallelogram with extended side lengths

Geometry Level pending

\(ABCD\) is a parallelogram. Let \(C'\) be a point on \(AC\) extended such that the length of \(AC'= 1.2 AC\). Let \(D'\) be on the segment \(BD\) such that the length of \(BD' = 0.9 BD\). The ratio of the area of the quadrilateral \(ABC'D'\) to the area of the parallelogram \(ABCD\) can be written as \(\frac{a}{b}\), where \(a\) and \(b\) are coprime positive integers. What is the value of \(a+b\)?

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