Question
24/90 to its lowest term
Answers
GPT-4o mini
To simplify the fraction \( \frac{24}{90} \) to its lowest terms, we need to find the greatest common divisor (GCD) of the numerator (24) and the denominator (90).
1. **Find the GCD of 24 and 90**:
- The factors of 24 are: \( 1, 2, 3, 4, 6, 8, 12, 24 \)
- The factors of 90 are: \( 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90 \)
- The common factors are: \( 1, 2, 3, 6 \)
- The greatest of these is 6.
2. **Divide both the numerator and the denominator by the GCD**:
\[
\frac{24 \div 6}{90 \div 6} = \frac{4}{15}
\]
Thus, the fraction \( \frac{24}{90} \) simplified to its lowest terms is \( \frac{4}{15} \).
1. **Find the GCD of 24 and 90**:
- The factors of 24 are: \( 1, 2, 3, 4, 6, 8, 12, 24 \)
- The factors of 90 are: \( 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90 \)
- The common factors are: \( 1, 2, 3, 6 \)
- The greatest of these is 6.
2. **Divide both the numerator and the denominator by the GCD**:
\[
\frac{24 \div 6}{90 \div 6} = \frac{4}{15}
\]
Thus, the fraction \( \frac{24}{90} \) simplified to its lowest terms is \( \frac{4}{15} \).