\[ x = (1-\frac { 1 }{ 2^{ 2 } } )(1-\frac { 1 }{ { 3 }^{ 2 } } )\quad ...\quad (1-\frac { 1 }{ { 15 }^{ 2 } } ) \]

If \( x \) can be written as \( \frac{ a}{b} \) where \(a\) and \(b\) are positive coprime integers, what is the value of \(a+b\)?

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