To simplify the fraction \( \frac{45}{26} \), we need to find the greatest common divisor (GCD) of the numerator (45) and the denominator (26).
- The prime factors of 45 are \( 3^2 \times 5 \).
- The prime factors of 26 are \( 2 \times 13 \).
Since there are no common prime factors, the GCD is 1.
Thus, \( \frac{45}{26} \) is already in its simplest form.
The simplest form of \( \frac{45}{26} \) is \( \frac{45}{26} \).