Answer :
To simplify the fraction [tex]\(\frac{24}{30}\)[/tex], we need to find the greatest common divisor (GCD) of the numerator and the denominator. The GCD is the largest number that can divide both the numerator and the denominator without leaving a remainder.
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, 6
- The greatest of these common factors is 6.
2. Divide both the numerator and the denominator by their GCD:
- Divide 24 by 6 to get 4.
- Divide 30 by 6 to get 5.
So, the simplified form of the fraction [tex]\(\frac{24}{30}\)[/tex] is [tex]\(\frac{4}{5}\)[/tex].
The correct option is C. [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, 6
- The greatest of these common factors is 6.
2. Divide both the numerator and the denominator by their GCD:
- Divide 24 by 6 to get 4.
- Divide 30 by 6 to get 5.
So, the simplified form of the fraction [tex]\(\frac{24}{30}\)[/tex] is [tex]\(\frac{4}{5}\)[/tex].
The correct option is C. [tex]\(\frac{4}{5}\)[/tex].
