Answer :
To simplify the fraction [tex]\(\frac{24}{30}\)[/tex], we start by finding the greatest common divisor (GCD) of the numerator (24) and the denominator (30).
1. Find the GCD:
- 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 between 24 and 30 are: 1, 2, 3, 6. So, the greatest common divisor is 6.
2. Simplify the fraction:
- Divide both the numerator and the denominator by their GCD (6).
[tex]\[
\frac{24 \div 6}{30 \div 6} = \frac{4}{5}
\][/tex]
So, the simplified form of [tex]\(\frac{24}{30}\)[/tex] is [tex]\(\frac{4}{5}\)[/tex].
The correct answer is:
A. [tex]\(\frac{4}{5}\)[/tex]
1. Find the GCD:
- 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 between 24 and 30 are: 1, 2, 3, 6. So, the greatest common divisor is 6.
2. Simplify the fraction:
- Divide both the numerator and the denominator by their GCD (6).
[tex]\[
\frac{24 \div 6}{30 \div 6} = \frac{4}{5}
\][/tex]
So, the simplified form of [tex]\(\frac{24}{30}\)[/tex] is [tex]\(\frac{4}{5}\)[/tex].
The correct answer is:
A. [tex]\(\frac{4}{5}\)[/tex]
