How to Simplify a Fraction: A Step-by-Step Guide
Learn the essential steps to simplify fractions effectively and easily with our comprehensive guide.
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Simplifying a fraction involves dividing both the numerator and the denominator by their greatest common divisor (GCD). For example, to simplify 8/12: 1) Find the GCD of 8 and 12, which is 4; 2) Divide both the numerator and the denominator by 4. The result is 2/3. Always check if further simplification is possible by ensuring the GCD is 1.
FAQs & Answers
- What does it mean to simplify a fraction? Simplifying a fraction means reducing it to its simplest form, where the numerator and denominator have no common factors other than 1.
- How do you find the greatest common divisor (GCD)? You can find the GCD by listing the factors of both numbers, or by using the Euclidean algorithm, which involves repeatedly subtracting the smaller number from the larger number until you reach zero.
- Can any fraction be simplified? Not all fractions can be simplified; a fraction is already in its simplest form if the GCD of the numerator and denominator is 1.
- What are some examples of simplifying fractions? For instance, to simplify 10/15, find the GCD, which is 5, and divide both numerator and denominator by 5, resulting in 2/3.