/5 + 2/6;

To add the fractions \( \frac{2}{5} + \frac{2}{6} \), you need to find a common denominator. The least common multiple (LCM) of 5 and 6 is 30. Now, convert each fraction to have a denominator of 30: 1. For \( \frac{2}{5} \): \[ \frac{2}{5} = \frac{2 \times 6}{5 \times 6} = \frac{12}{30} \] 2. For \( \frac{2}{6} \): \[ \frac{2}{6} = \frac{2 \times 5}{6 \times 5} = \frac{10}{30} \] Now you can add the two fractions: \[ \frac{12}{30} + \frac{10}{30} = \frac{12 + 10}{30} = \frac{22}{30} \] Finally, simplify \( \frac{22}{30} \): \[ \frac{22}{30} = \frac{11}{15} \] So, \( \frac{2}{5} + \frac{2}{6} = \frac{11}{15} \).