Question
Reduce fraction: 32/56
Answers
GPT-4o mini
To reduce the fraction \( \frac{32}{56} \), we need to find the greatest common divisor (GCD) of the numerator and the denominator.
1. **Find the GCD of 32 and 56**:
- The prime factorization of 32 is \( 2^5 \).
- The prime factorization of 56 is \( 2^3 \times 7 \).
- The GCD is the product of the lowest powers of common prime factors. In this case, the common prime factor is \( 2 \), and the lowest power is \( 2^3 \), which is \( 8 \).
2. **Divide both the numerator and the denominator by their GCD**:
\[
\frac{32 \div 8}{56 \div 8} = \frac{4}{7}
\]
So, the reduced fraction of \( \frac{32}{56} \) is \( \frac{4}{7} \).
1. **Find the GCD of 32 and 56**:
- The prime factorization of 32 is \( 2^5 \).
- The prime factorization of 56 is \( 2^3 \times 7 \).
- The GCD is the product of the lowest powers of common prime factors. In this case, the common prime factor is \( 2 \), and the lowest power is \( 2^3 \), which is \( 8 \).
2. **Divide both the numerator and the denominator by their GCD**:
\[
\frac{32 \div 8}{56 \div 8} = \frac{4}{7}
\]
So, the reduced fraction of \( \frac{32}{56} \) is \( \frac{4}{7} \).