Answer :
To simplify the fraction [tex]\(\frac{24}{30}\)[/tex], we need to find the greatest common divisor (GCD) of the numerator (24) and the denominator (30), and then divide both by this GCD.
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, and 6.
- The greatest common divisor is 6.
2. Divide both numbers by the GCD:
- Divide the numerator (24) by 6: [tex]\(\frac{24}{6} = 4\)[/tex]
- Divide the denominator (30) by 6: [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].
Therefore, the correct answer 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, and 6.
- The greatest common divisor is 6.
2. Divide both numbers by the GCD:
- Divide the numerator (24) by 6: [tex]\(\frac{24}{6} = 4\)[/tex]
- Divide the denominator (30) by 6: [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].
Therefore, the correct answer is C. [tex]\(\frac{4}{5}\)[/tex].
