Answer :
To simplify the fraction [tex]\(\frac{24}{30}\)[/tex], follow these steps:
1. Find the Greatest Common Divisor (GCD):
- The GCD of two numbers is the largest number that divides both numbers without a remainder.
- For 24 and 30, the GCD is 6.
2. Divide the numerator and the denominator by the GCD:
- Divide 24 by 6 to get 4.
- Divide 30 by 6 to get 5.
3. Write the simplified fraction:
- After dividing, the fraction [tex]\(\frac{24}{30}\)[/tex] simplifies to [tex]\(\frac{4}{5}\)[/tex].
So, the simplified form of the fraction [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 Greatest Common Divisor (GCD):
- The GCD of two numbers is the largest number that divides both numbers without a remainder.
- For 24 and 30, the GCD is 6.
2. Divide the numerator and the denominator by the GCD:
- Divide 24 by 6 to get 4.
- Divide 30 by 6 to get 5.
3. Write the simplified fraction:
- After dividing, the fraction [tex]\(\frac{24}{30}\)[/tex] simplifies to [tex]\(\frac{4}{5}\)[/tex].
So, the simplified form of the fraction [tex]\(\frac{24}{30}\)[/tex] is [tex]\(\frac{4}{5}\)[/tex].
Therefore, the correct answer is B. [tex]\(\frac{4}{5}\)[/tex].
