How to Simplify Fractions: A Step-by-Step Guide
Learn how to simplify two fractions quickly using the greatest common divisor (GCD). Easily understand the process today!
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To simplify two fractions, find the greatest common divisor (GCD) of both the numerator and the denominator for each fraction. Divide both by their GCDs. For example, to simplify 8/12, divide both terms by their GCD, which is 4, resulting in 2/3. Repeat for the second fraction. Simplified fractions are easier to understand and compare.
FAQs & Answers
- What is the first step in simplifying fractions? The first step in simplifying fractions is to find the greatest common divisor (GCD) of the numerator and the denominator.
- How do you find the GCD of two numbers? To find the GCD of two numbers, list the factors of each number, then identify the largest factor that both numbers share.
- Why is it important to simplify fractions? Simplifying fractions makes them easier to understand, compare, and work with, especially in mathematical calculations.
- Can all fractions be simplified? Not all fractions can be simplified; a fraction is already in its simplest form when the numerator and denominator have no common divisors other than 1.