2/3+1/5

To add the fractions \( \frac{2}{3} \) and \( \frac{1}{5} \), you need to find a common denominator. The least common denominator (LCD) of 3 and 5 is 15. Now, convert each fraction: 1. Convert \( \frac{2}{3} \): \[ \frac{2}{3} = \frac{2 \times 5}{3 \times 5} = \frac{10}{15} \] 2. Convert \( \frac{1}{5} \): \[ \frac{1}{5} = \frac{1 \times 3}{5 \times 3} = \frac{3}{15} \] Now, add the two fractions: \[ \frac{10}{15} + \frac{3}{15} = \frac{10 + 3}{15} = \frac{13}{15} \] So, \( \frac{2}{3} + \frac{1}{5} = \frac{13}{15} \).