The geometric series \(a + ar + ar^{2} + \ldots\) has a sum of \(7\), and the terms involving odd powers of \(r\) have a sum of \(3\). The original answer is in the form \(\frac{k}{m}\). Find the value of \(a + r\) and give the sum of \(k + m\).

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