Steps to Simplify a Fraction

1. Identify the Fraction: A fraction consists of a numerator (the top part) and a denominator (the bottom part). For example, in the fraction \(\frac{8}{12}\), \(8\) is the numerator and \(12\) is the denominator.
2. Find the Greatest Common Factor (GCF): Determine the GCF of the numerator and denominator. The GCF is the largest number that divides both the numerator and denominator without leaving a remainder. For \(8\) and \(12\), the GCF is \(4\).
3. Divide Both Parts by the GCF: Simplify the fraction by dividing both the numerator and the denominator by the GCF.

• For \(\frac{8}{12}\):
• \(\frac{8 \div 4}{12 \div 4} = \frac{2}{3}\)

4. Result: The simplified form of \(\frac{8}{12}\) is \(\frac{2}{3}\).

Additional Information

• Improper Fractions: If the numerator is greater than the denominator (e.g., \(\frac{9}{4}\)), you can convert it to a mixed number after simplification. For example, \(\frac{9}{4} = 2 \frac{1}{4}\) after simplification.

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• Rational Expressions: For more complex fractions or rational expressions, you can factor both the numerator and denominator completely and then cancel out any common factors. This process can be done using online calculators that provide step-by-step solutions.

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  By following these steps, you can simplify any fraction effectively, making it easier to work with in mathematical problems.
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