To add the fractions \( \frac{2}{15} \) and \( \frac{1}{3} \), you first need a common denominator. The denominators here are 15 and 3. The least common multiple of these is 15.
Next, convert \( \frac{1}{3} \) to an equivalent fraction with a denominator of 15.
\[ \frac{1}{3} = \frac{1 \times 5}{3 \times 5} = \frac{5}{15} \]
Now you can add the two fractions:
\[ \frac{2}{15} + \frac{5}{15} = \frac{2 + 5}{15} = \frac{7}{15} \]
Thus, the sum of the fractions \( \frac{2}{15} + \frac{1}{3} \) is
\[ \frac{7}{15} \]