To simplify \( \frac{1287}{1225} \), we can find the greatest common divisor (GCD) of the numerator and the denominator.
First, let's check if these two numbers can be divided by their GCD:
- The prime factorization of 1287 is \( 3 \times 429 \) and \( 429 = 3 \times 143 = 3 \times 11 \times 13 = 3^2 \times 11 \times 13 \), so \( 1287 = 3^2 \times 11 \times 13 \).
- The prime factorization of 1225 is \( 35^2 = 5^2 \times 7^2 \), so \( 1225 = 5^2 \times 7^2 \).
Since they have no common factors, the GCD is 1.
Thus, \( \frac{1287}{1225} \) is already in its simplest form.
So, the simplified result of \( \frac{1287}{1225} \) is:
\[ \frac{1287}{1225} \]