65/87 simplified as a fraction

Answer 1

To simplify the fraction \( \frac{65}{87} \), we need to find the greatest common divisor (GCD) of the numerator (65) and the denominator (87).

1. First, we find the prime factors of each number:

   • The prime factorization of \( 65 \) is \( 5 \times 13 \).
   • The prime factorization of \( 87 \) is \( 3 \times 29 \).

2. Since there are no common factors between the prime factorizations of \( 65 \) and \( 87 \), the GCD is 1.

3. Since the GCD is 1, \( \frac{65}{87} \) is already in its simplest form.

Thus, the simplified fraction is \( \frac{65}{87} \).