To divide fractions, you multiply by the reciprocal of the divisor.
So, to solve \( \frac{2}{3} \div \frac{1}{2} \), you can rewrite it as:
\[ \frac{2}{3} \times \frac{2}{1} \]
Now, multiply the numerators and the denominators:
\[ \frac{2 \times 2}{3 \times 1} = \frac{4}{3} \]
Therefore, \( \frac{2}{3} \div \frac{1}{2} = \frac{4}{3} \).