1. The problem is to simplify the fraction $\frac{19}{15}$. 2. To simplify a fraction, find the greatest common divisor (GCD) of the numerator and denominator. 3. The numerator is 19 and the denominator is 15. 4. The factors of 19 are 1 and 19 (19 is a prime number). 5. The factors of 15 are 1, 3, 5, and 15. 6. The only common factor is 1, so the GCD is 1. 7. Since the GCD is 1, the fraction $\frac{19}{15}$ is already in its simplest form. 8. Therefore, the simplified form of $\frac{19}{15}$ is $\frac{19}{15}$ itself.