To add the fractions \( \frac{1}{3} + \frac{1}{3} + \frac{1}{6} \), first find a common denominator.
The denominators are 3 and 6. The least common denominator (LCD) for 3 and 6 is 6.
Now, convert each fraction to have the common denominator of 6:
- \( \frac{1}{3} = \frac{2}{6} \) (because \( 1 \times 2 = 2 \) and \( 3 \times 2 = 6 \))
- \( \frac{1}{3} = \frac{2}{6} \) (same as above)
- \( \frac{1}{6} = \frac{1}{6} \) (already has the common denominator)
Now, add the fractions:
\[ \frac{2}{6} + \frac{2}{6} + \frac{1}{6} = \frac{2 + 2 + 1}{6} = \frac{5}{6} \]
So, \( \frac{1}{3} + \frac{1}{3} + \frac{1}{6} = \frac{5}{6} \).