7/8+5/6

To add the fractions \( \frac{7}{8} \) and \( \frac{5}{6} \), you first need to find a common denominator. The least common multiple (LCM) of 8 and 6 is 24. Now, convert each fraction to have this common denominator: 1. Convert \( \frac{7}{8} \): \[ \frac{7}{8} = \frac{7 \times 3}{8 \times 3} = \frac{21}{24} \] 2. Convert \( \frac{5}{6} \): \[ \frac{5}{6} = \frac{5 \times 4}{6 \times 4} = \frac{20}{24} \] Now, you can add the two fractions together: \[ \frac{21}{24} + \frac{20}{24} = \frac{21 + 20}{24} = \frac{41}{24} \] Thus, \( \frac{7}{8} + \frac{5}{6} = \frac{41}{24} \) or \( 1 \frac{17}{24} \) when expressed as a mixed number.