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) and then divide them by this number.
1. Find the GCD of 24 and 30:
- The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24.
- The factors of 30 are: 1, 2, 3, 5, 6, 10, 15, 30.
- The common factors are 1, 2, 3, and 6.
- So, the greatest common divisor is 6.
2. Divide the numerator and denominator by the GCD:
- Divide 24 by 6 to get 4.
- Divide 30 by 6 to get 5.
So, the simplified form of [tex]\(\frac{24}{30}\)[/tex] is [tex]\(\frac{4}{5}\)[/tex].
Therefore, the correct answer is:
B. [tex]\(\frac{4}{5}\)[/tex]
1. Find the GCD of 24 and 30:
- The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24.
- The factors of 30 are: 1, 2, 3, 5, 6, 10, 15, 30.
- The common factors are 1, 2, 3, and 6.
- So, the greatest common divisor is 6.
2. Divide the numerator and denominator by the GCD:
- Divide 24 by 6 to get 4.
- Divide 30 by 6 to get 5.
So, the simplified form of [tex]\(\frac{24}{30}\)[/tex] is [tex]\(\frac{4}{5}\)[/tex].
Therefore, the correct answer is:
B. [tex]\(\frac{4}{5}\)[/tex]
