Answer :
To simplify the fraction [tex]\(\frac{24}{30}\)[/tex], follow these steps:
1. Find the Greatest Common Divisor (GCD):
- We need to find the largest number that divides both the numerator (24) and the denominator (30) without leaving a remainder.
- 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 of 24 and 30 are: 1, 2, 3, 6.
- The greatest of these common factors is 6.
2. Divide Both Terms by the GCD:
- Divide the numerator and the denominator by their GCD.
- [tex]\(\frac{24 \div 6}{30 \div 6} = \frac{4}{5}\)[/tex].
3. Simplified Form:
- 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 Greatest Common Divisor (GCD):
- We need to find the largest number that divides both the numerator (24) and the denominator (30) without leaving a remainder.
- 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 of 24 and 30 are: 1, 2, 3, 6.
- The greatest of these common factors is 6.
2. Divide Both Terms by the GCD:
- Divide the numerator and the denominator by their GCD.
- [tex]\(\frac{24 \div 6}{30 \div 6} = \frac{4}{5}\)[/tex].
3. Simplified Form:
- 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].
