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 number.
1. List the factors of both numbers:
- Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
- Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30
2. Identify the greatest common factor that appears in both lists:
- Common factors: 1, 2, 3, 6
- Greatest common factor is 6.
3. Divide both the numerator and the denominator by the greatest common factor:
[tex]\[
\frac{24 \div 6}{30 \div 6} = \frac{4}{5}
\][/tex]
Thus, the simplified form of the fraction [tex]\(\frac{24}{30}\)[/tex] is [tex]\(\frac{4}{5}\)[/tex].
So, the correct answer is:
B. [tex]\(\frac{4}{5}\)[/tex]
1. List the factors of both numbers:
- Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
- Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30
2. Identify the greatest common factor that appears in both lists:
- Common factors: 1, 2, 3, 6
- Greatest common factor is 6.
3. Divide both the numerator and the denominator by the greatest common factor:
[tex]\[
\frac{24 \div 6}{30 \div 6} = \frac{4}{5}
\][/tex]
Thus, the simplified form of the fraction [tex]\(\frac{24}{30}\)[/tex] is [tex]\(\frac{4}{5}\)[/tex].
So, the correct answer is:
B. [tex]\(\frac{4}{5}\)[/tex]
