Find the GCF of the numerator and denominator of the fraction 6/15 , and simplify it.(1 point) Responses 2/15 18/45 6/5 2/5

1 answer

To find the greatest common factor (GCF) of the numerator and denominator, we can find the prime factorization of both numbers.

The prime factorization of 6 is 2 * 3.
The prime factorization of 15 is 3 * 5.

To find the GCF, we look for the common prime factors between the two numbers. The only common prime factor is 3.

Therefore, the GCF of 6 and 15 is 3.

To simplify the fraction 6/15, we can divide both the numerator and denominator by the GCF.

6/3 = 2
15/3 = 5

So the simplified fraction is 2/5.

The correct option is 2/5.