To simplify the fraction [tex]\(\frac{24}{54}\)[/tex], we need to find the greatest common divisor (gcd) of the numerator and the denominator.
1. Identify the numerator and denominator:
[tex]\[
\text{Numerator} = 24, \quad \text{Denominator} = 54
\][/tex]
2. Find the greatest common divisor (gcd):
The gcd of 24 and 54 is 6.
3. Divide the numerator and the denominator by their gcd to simplify the fraction:
[tex]\[
\frac{24 \div 6}{54 \div 6} = \frac{4}{9}
\][/tex]
So, the simplified form of the fraction [tex]\(\frac{24}{54}\)[/tex] is [tex]\(\frac{4}{9}\)[/tex].
