Question
What is the simplified form of the fraction 44/80?
Answers
GPT-4o mini
To simplify the fraction \( \frac{44}{80} \), we need to find the greatest common divisor (GCD) of the numerator (44) and the denominator (80).
1. **Find the GCD:**
- The factors of 44 are \( 1, 2, 4, 11, 22, 44 \).
- The factors of 80 are \( 1, 2, 4, 5, 8, 10, 16, 20, 40, 80 \).
- The common factors are \( 1, 2, 4 \), so the GCD is \( 4 \).
2. **Divide both the numerator and denominator by the GCD:**
\[
\frac{44 \div 4}{80 \div 4} = \frac{11}{20}
\]
Therefore, the simplified form of the fraction \( \frac{44}{80} \) is \( \frac{11}{20} \).
1. **Find the GCD:**
- The factors of 44 are \( 1, 2, 4, 11, 22, 44 \).
- The factors of 80 are \( 1, 2, 4, 5, 8, 10, 16, 20, 40, 80 \).
- The common factors are \( 1, 2, 4 \), so the GCD is \( 4 \).
2. **Divide both the numerator and denominator by the GCD:**
\[
\frac{44 \div 4}{80 \div 4} = \frac{11}{20}
\]
Therefore, the simplified form of the fraction \( \frac{44}{80} \) is \( \frac{11}{20} \).