To add the fractions \( \frac{2}{15} \) and \( \frac{2}{5} \), you need a common denominator. The least common multiple of 15 and 5 is 15.
Now, convert \( \frac{2}{5} \) to an equivalent fraction with a denominator of 15:
\[ \frac{2}{5} = \frac{2 \times 3}{5 \times 3} = \frac{6}{15} \]
Now you can add the two fractions:
\[ \frac{2}{15} + \frac{6}{15} = \frac{2 + 6}{15} = \frac{8}{15} \]
So, \( \frac{2}{15} + \frac{2}{5} = \frac{8}{15} \).