To add the fractions \( \frac{1}{3} + \frac{1}{18} \), we need to find a common denominator.
The least common multiple (LCM) of 3 and 18 is 18. We can rewrite \( \frac{1}{3} \) with a denominator of 18:
\[ \frac{1}{3} = \frac{1 \times 6}{3 \times 6} = \frac{6}{18} \]
Now we can add the two fractions:
\[ \frac{6}{18} + \frac{1}{18} = \frac{6 + 1}{18} = \frac{7}{18} \]
Thus, the sum of \( \frac{1}{3} + \frac{1}{18} \) is:
\[ \frac{7}{18} \]