Subjects algebra

Fraction Simplification 74F57D

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1. **State the problem:** Simplify the fraction $\frac{18}{24}$ to its lowest terms. 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 the fraction:** $$= \frac{3}{4}$$ 6. **Final answer:** The fraction $\frac{18}{24}$ simplified is $\frac{3}{4}$.