Simplify 18/24

Question

using the GCF

Answer 1

To simplify the fraction \( \frac{18}{24} \) using the greatest common factor (GCF), we first need to find the GCF of the numerator (18) and the denominator (24).

1. Find the GCF:

   • The factors of 18 are: 1, 2, 3, 6, 9, 18
   • The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24
   • The common factors are: 1, 2, 3, 6
   • The greatest common factor is 6.

2. Divide both the numerator and the denominator by the GCF: \[ \frac{18 \div 6}{24 \div 6} = \frac{3}{4} \]

Thus, the simplified form of \( \frac{18}{24} \) is \( \frac{3}{4} \).