Question

Write
146/464
in lowest terms.

Answer 1

To simplify the fraction \( \frac{146}{464} \), we need to find the greatest common divisor (GCD) of the numerator (146) and the denominator (464).

1. **Find the GCD**:
- The prime factorization of 146 is \( 2 \times 73 \).
- The prime factorization of 464 is \( 2^4 \times 29 \).

The common factor is \( 2 \). Thus, the GCD of 146 and 464 is \( 2 \).

2. **Divide the numerator and the denominator by the GCD**:
\[
\frac{146 \div 2}{464 \div 2} = \frac{73}{232}
\]

Therefore, the fraction \( \frac{146}{464} \) in lowest terms is \( \frac{73}{232} \).