Both fractions \(\frac{3}{8}\) and \(\frac{4}{8}\) have the same denominator, which is \(8\).
Since the denominators are the same, add the numerators directly: \[ 3 + 4 = 7 \]
Place the sum of the numerators over the common denominator: \[ \frac{7}{8} \]
\(\boxed{\frac{7}{8}}\)
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