The denominators are 2 and 8. The least common denominator (LCD) is 8.
Convert \(\frac{1}{2}\) to a fraction with denominator 8: \[ \frac{1}{2} = \frac{1 \times 4}{2 \times 4} = \frac{4}{8} \]
Add \(\frac{4}{8}\) and \(\frac{7}{8}\): \[ \frac{4}{8} + \frac{7}{8} = \frac{4 + 7}{8} = \frac{11}{8} \]
\(\boxed{\frac{11}{8}}\)
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