Fraction Simplifier
Simplify with GCD, find common denominators with LCM — with detailed steps
モードを選択
分数1
分数2
計算結果
真分数形式
帯分数形式
計算過程
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About Fraction Simplifier
Simplification means dividing both the numerator and denominator by their Greatest Common Divisor (GCD) to reduce the fraction to its simplest form. For example, 6/8 becomes 3/4 when divided by GCD(6,8)=2.
Finding a common denominator means adjusting two or more fractions so they share the Least Common Multiple (LCM) as their denominator, which is essential for adding or subtracting fractions. For example, 1/3 and 1/4 become 4/12 and 3/12 when using LCM(3,4)=12.
This tool displays the Euclidean algorithm steps for GCD and the LCM calculation process step by step. It also supports mixed number format, allowing you to simultaneously verify the conversion from improper to mixed numbers. Useful for math homework, classroom learning, and test preparation.
How to use Fraction Simplifier
- Select 'Simplify' or 'Common Denominator' mode
- Simplify: Enter numerator and denominator / Common Denominator: Enter two fractions
- Results and detailed calculation steps are displayed in real-time
Benefits of Fraction Simplifier
- Supports both simplification and common denominator operations
- Shows Euclidean algorithm calculation steps
- Mixed number format support for easy conversion between improper and mixed forms
- Real-time calculation with instant results
- Browser-only processing ensures privacy
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