To add the fractions \( \frac{2}{15} + \frac{1}{3} \), we first need a common denominator.
The denominator of the first fraction is 15, and the denominator of the second fraction is 3. The least common multiple of 15 and 3 is 15.
Now, we will 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:
\[ \frac{2}{15} + \frac{5}{15} = \frac{2 + 5}{15} = \frac{7}{15} \]
So, \( \frac{2}{15} + \frac{1}{3} = \frac{7}{15} \).