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To add two-thirds and one-eighth, first find a common denominator, which is 24. Convert two-thirds to twenty-fourths: ( \frac{2}{3} = \frac{16}{24} ) and one-eighth to twenty-fourths: ( \frac{1}{8} = \frac{3}{24} ). Adding these together gives ( \frac{16}{24} + \frac{3}{24} = \frac{19}{24} ). Therefore, two-thirds plus one-eighth equals ( \frac{19}{24} ).

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