To simplify the fraction \( \frac{80}{51} \), we need to find the greatest common divisor (GCD) of 80 and 51.
- Factor 80: The prime factorization of 80 is \( 2^4 \times 5 \).
- Factor 51: The prime factorization of 51 is \( 3 \times 17 \).
Since 80 and 51 share no common factors, their GCD is 1. Therefore, the fraction \( \frac{80}{51} \) is already in its simplest form.
Thus, \( \frac{80}{51} \) cannot be simplified further.