Simplify 1287÷1225 .(1 point)

Answer 1

To simplify the fraction \( \frac{1287}{1225} \), we need to find the greatest common divisor (GCD) of 1287 and 1225.

1. Prime factorization:

   • For 1287:

     • \( 1287 \div 3 = 429 \)
     • \( 429 \div 3 = 143 \)
     • \( 143 = 11 \times 13 \)
     • So, \( 1287 = 3^2 \times 11 \times 13 \)

   • For 1225:

     • \( 1225 \div 5 = 245 \)
     • \( 245 \div 5 = 49 \)
     • \( 49 = 7^2 \)
     • So, \( 1225 = 5^2 \times 7^2 \)

2. Find common factors:

   • The prime factorization shows that there are no common factors between 1287 and 1225.

3. Conclusion:

   • Since they have no common factors, the fraction \( \frac{1287}{1225} \) is already in its simplest form.

Thus, the simplified result of \( 1287 \div 1225 \) is \( \frac{1287}{1225} \).