Fraction Example 6F9Ad9

1. **Problem:** Simplify the fraction $\frac{18}{24}$. 2. **Formula and rules:** To simplify a fraction, divide the numerator and denominator by their greatest common divisor (GCD). 3. **Find the GCD:** 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 greatest common divisor is $6$. 4. **Divide numerator and denominator by the GCD:** $$\frac{18}{24} = \frac{\cancel{6} \times 3}{\cancel{6} \times 4}$$ 5. **Simplify:** $$\frac{3}{4}$$ 6. **Answer:** The simplified form of $\frac{18}{24}$ is $\frac{3}{4}$. This means the fraction $\frac{18}{24}$ and $\frac{3}{4}$ represent the same value, but $\frac{3}{4}$ is in simplest form.