To simplify the fraction [tex]\(\frac{24}{36}\)[/tex], we need to divide both the numerator (24) and the denominator (36) by their greatest common divisor (GCD). Here's the step-by-step procedure:
1. Find the GCD of 24 and 36:
- List the factors of 24: [tex]\(1, 2, 3, 4, 6, 8, 12, 24\)[/tex]
- List the factors of 36: [tex]\(1, 2, 3, 4, 6, 9, 12, 18, 36\)[/tex]
- The common factors are [tex]\(1, 2, 3, 4, 6, 12\)[/tex]
- The greatest common divisor is [tex]\(12\)[/tex]
2. Divide the numerator and denominator by the GCD:
- Numerator: [tex]\(\frac{24}{12} = 2\)[/tex]
- Denominator: [tex]\(\frac{36}{12} = 3\)[/tex]
Therefore, the simplified form of the fraction [tex]\(\frac{24}{36}\)[/tex] is [tex]\(\frac{2}{3}\)[/tex].
So, [tex]\(\boxed{\frac{2}{3}}\)[/tex] is the simplified fraction.
