To simplify the fraction \( \frac{65}{100} \), we can divide both the numerator and the denominator by their greatest common divisor (GCD), which is 5.
\[ \frac{65 \div 5}{100 \div 5} = \frac{13}{20} \]
So, \( \frac{65}{100} \) simplifies to \( \frac{13}{20} \).