To simplify the fraction \( \frac{8}{25} \), we check for any common factors between the numerator (8) and the denominator (25).
The prime factorization of 8 is \( 2^3 \), and the prime factorization of 25 is \( 5^2 \). Since they have no common factors, the fraction cannot be simplified further.
Thus, \( \frac{8}{25} \) is already in its simplest form.