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Algebra Level pending

let

\(\large{S=\frac{4}{2}+\frac{12}{10}+\frac{20}{50}+\frac{28}{170}+\frac{36}{442}}\)

If \(S\) can be simplified to \(\frac{a}{b}\) where \(a,b\) are co prime integers.

Find \(a+b\)

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