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 divide both by this number.
1. Find the GCD of 24 and 30:
- Factors of 24: [tex]\(1, 2, 3, 4, 6, 8, 12, 24\)[/tex]
- Factors of 30: [tex]\(1, 2, 3, 5, 6, 10, 15, 30\)[/tex]
- The greatest common factor they share is [tex]\(6\)[/tex].
2. Divide both the numerator and the denominator by the GCD:
- Numerator: [tex]\(\frac{24}{6} = 4\)[/tex]
- Denominator: [tex]\(\frac{30}{6} = 5\)[/tex]
3. Write the simplified fraction:
- The simplified form of [tex]\(\frac{24}{30}\)[/tex] is [tex]\(\frac{4}{5}\)[/tex].
Thus, the answer is:
A. [tex]\(\frac{4}{5}\)[/tex]
1. Find the GCD of 24 and 30:
- Factors of 24: [tex]\(1, 2, 3, 4, 6, 8, 12, 24\)[/tex]
- Factors of 30: [tex]\(1, 2, 3, 5, 6, 10, 15, 30\)[/tex]
- The greatest common factor they share is [tex]\(6\)[/tex].
2. Divide both the numerator and the denominator by the GCD:
- Numerator: [tex]\(\frac{24}{6} = 4\)[/tex]
- Denominator: [tex]\(\frac{30}{6} = 5\)[/tex]
3. Write the simplified fraction:
- The simplified form of [tex]\(\frac{24}{30}\)[/tex] is [tex]\(\frac{4}{5}\)[/tex].
Thus, the answer is:
A. [tex]\(\frac{4}{5}\)[/tex]
