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 and then divide both by this number. Here's how you can do it step-by-step:
1. Find the GCD of 24 and 30:
- List the factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
- List the factors of 30: 1, 2, 3, 5, 6, 10, 15, 30
- The common factors of 24 and 30 are: 1, 2, 3, 6
- The greatest common factor is 6.
2. Divide both the numerator and the denominator by the GCD:
- Divide 24 (numerator) by 6: [tex]\(24 \div 6 = 4\)[/tex]
- Divide 30 (denominator) by 6: [tex]\(30 \div 6 = 5\)[/tex]
3. Write the simplified fraction:
- The fraction [tex]\(\frac{24}{30}\)[/tex] simplifies to [tex]\(\frac{4}{5}\)[/tex].
Therefore, the correct answer is A. [tex]\(\frac{4}{5}\)[/tex].
1. Find the GCD of 24 and 30:
- List the factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
- List the factors of 30: 1, 2, 3, 5, 6, 10, 15, 30
- The common factors of 24 and 30 are: 1, 2, 3, 6
- The greatest common factor is 6.
2. Divide both the numerator and the denominator by the GCD:
- Divide 24 (numerator) by 6: [tex]\(24 \div 6 = 4\)[/tex]
- Divide 30 (denominator) by 6: [tex]\(30 \div 6 = 5\)[/tex]
3. Write the simplified fraction:
- The fraction [tex]\(\frac{24}{30}\)[/tex] simplifies to [tex]\(\frac{4}{5}\)[/tex].
Therefore, the correct answer is A. [tex]\(\frac{4}{5}\)[/tex].
