To add the fractions \( \frac{2}{15} \) and \( \frac{1}{3} \), we first need to find a common denominator. The denominators are 15 and 3. The least common denominator (LCD) is 15.
Next, we convert \( \frac{1}{3} \) to a fraction with a denominator of 15:
\[ \frac{1}{3} = \frac{1 \times 5}{3 \times 5} = \frac{5}{15} \]
Now we can add the two fractions:
\[ \frac{2}{15} + \frac{5}{15} = \frac{2 + 5}{15} = \frac{7}{15} \]
The sum of \( \frac{2}{15} \) and \( \frac{1}{3} \) is
\[ \frac{7}{15} \]
So the final answer is:
\[ \frac{7}{15} \]