Answer :
To simplify the fraction [tex]\(\frac{24}{30}\)[/tex], we need to find the greatest common divisor (GCD) of the numerator (24) and the denominator (30).
1. First, list the factors of each number:
- Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
- Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30
2. Identify the greatest common factor shared by both numbers:
- Common factors of 24 and 30: 1, 2, 3, 6
- The greatest common factor is 6.
3. Divide both the numerator and the denominator by their greatest common divisor (6):
- Simplified numerator: [tex]\( \frac{24}{6} = 4 \)[/tex]
- Simplified denominator: [tex]\( \frac{30}{6} = 5 \)[/tex]
So, the simplified form of the fraction [tex]\(\frac{24}{30}\)[/tex] is [tex]\(\frac{4}{5}\)[/tex].
Thus, the correct answer is B. [tex]\(\frac{4}{5}\)[/tex].
1. First, list the factors of each number:
- Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
- Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30
2. Identify the greatest common factor shared by both numbers:
- Common factors of 24 and 30: 1, 2, 3, 6
- The greatest common factor is 6.
3. Divide both the numerator and the denominator by their greatest common divisor (6):
- Simplified numerator: [tex]\( \frac{24}{6} = 4 \)[/tex]
- Simplified denominator: [tex]\( \frac{30}{6} = 5 \)[/tex]
So, the simplified form of the fraction [tex]\(\frac{24}{30}\)[/tex] is [tex]\(\frac{4}{5}\)[/tex].
Thus, the correct answer is B. [tex]\(\frac{4}{5}\)[/tex].
