Both fractions \(\frac{2}{13}\) and \(\frac{10}{13}\) have the same denominator, which is \(13\).
Add the numerators of the fractions while keeping the denominator the same: \[ \frac{2}{13} + \frac{10}{13} = \frac{2 + 10}{13} \]
Calculate the sum of the numerators: \[ \frac{2 + 10}{13} = \frac{12}{13} \]
\(\boxed{\frac{12}{13}}\)
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