Question
Reduce -34/87 to lowest terms.
Answers
GPT-4o mini
To reduce the fraction \(-\frac{34}{87}\) to its lowest terms, we need to find the greatest common divisor (GCD) of the numerator (34) and the denominator (87).
1. The prime factorization of 34:
- \(34 = 2 \times 17\)
2. The prime factorization of 87:
- \(87 = 3 \times 29\)
Since there are no common factors between 34 and 87, their GCD is 1.
Thus, \(-\frac{34}{87}\) is already in its lowest terms. Therefore, the simplified fraction is:
\[
-\frac{34}{87}
\]
1. The prime factorization of 34:
- \(34 = 2 \times 17\)
2. The prime factorization of 87:
- \(87 = 3 \times 29\)
Since there are no common factors between 34 and 87, their GCD is 1.
Thus, \(-\frac{34}{87}\) is already in its lowest terms. Therefore, the simplified fraction is:
\[
-\frac{34}{87}
\]