To divide fractions, you multiply by the reciprocal of the fraction you are dividing by. In this case, you want to divide \( \frac{13}{20} \) by \( \frac{1}{3} \).
- Find the reciprocal of \( \frac{1}{3} \), which is \( \frac{3}{1} \).
- Multiply \( \frac{13}{20} \) by \( \frac{3}{1} \):
\[ \frac{13}{20} \times \frac{3}{1} = \frac{13 \times 3}{20 \times 1} = \frac{39}{20} \]
So, \( \frac{13}{20} \div \frac{1}{3} = \frac{39}{20} \).
You can leave it as an improper fraction or convert it to a mixed number:
\[ \frac{39}{20} = 1 \frac{19}{20} \]
Thus, the answer is \( \frac{39}{20} \) or \( 1 \frac{19}{20} \).