To divide fractions, you multiply by the reciprocal of the divisor.
So,
\[ \frac{1}{3} \div \frac{2}{3} = \frac{1}{3} \times \frac{3}{2} \]
Now, multiply the fractions:
\[ \frac{1 \times 3}{3 \times 2} = \frac{3}{6} \]
Next, simplify \(\frac{3}{6}\):
\[ \frac{3}{6} = \frac{1}{2} \]
So,
\[ \frac{1}{3} \div \frac{2}{3} = \frac{1}{2} \]