Question

Simplify 385/66

Answer 1

To simplify the fraction \( \frac{385}{66} \), we need to find the greatest common divisor (GCD) of the numerator and denominator.

1. **Factor 385 and 66:**
- The prime factorization of 385:
- \( 385 = 5 \times 77 = 5 \times 7 \times 11 \)
- The prime factorization of 66:
- \( 66 = 2 \times 33 = 2 \times 3 \times 11 \)

2. **Identify common factors:**
- The common factor between 385 and 66 is 11.

3. **Divide both the numerator and denominator by the GCD (11):**
\[
\frac{385 \div 11}{66 \div 11} = \frac{35}{6}
\]

Thus, the simplified form of \( \frac{385}{66} \) is \( \frac{35}{6} \).