Fraction Simplifier

Fraction simplification — also called reducing a fraction — is the process of rewriting a fraction in its lowest terms by dividing both the numerator and denominator by their Greatest Common Divisor (GCD). A simplified fraction has no common factors between the top and bottom numbers other than 1. For example, 12/16 simplifies to 3/4 because the GCD of 12 and 16 is 4. Our fraction simplifier automates this process instantly, showing every step so you can understand and verify the result.

1. 1. Enter Your Fraction: Type the numerator and denominator into the fraction simplifier. The tool accepts any integers — positive, negative, or large numbers. Negative fractions are handled automatically with the sign placed on the numerator.
2. 2. Instant Browser-Based Calculation: Click Simplify Fraction and the tool instantly computes the GCD using the Euclidean algorithm, divides both terms, and generates the simplified result. All calculations run locally in your browser — your data never leaves your device.
3. 3. View Results in Multiple Formats: Review the simplified fraction, mixed number form (for improper fractions), decimal equivalent, and percentage. A numbered step-by-step breakdown shows exactly how the GCD was found and applied.

• Greatest Common Divisor (GCD): The GCD is the largest integer that divides both the numerator and denominator without a remainder. The fraction simplifier uses the Euclidean algorithm to find it efficiently for any size numbers.
• Simplified Fraction: Both numerator and denominator are divided by the GCD to produce the fraction in its lowest terms. If the GCD is 1, the fraction is already fully simplified.
• Mixed Number Conversion: For improper fractions (where the numerator is larger than the denominator), the fraction simplifier also converts the result to a mixed number showing the whole part and remaining fraction.
• Decimal & Percentage Equivalents: The simplified fraction is divided to produce its decimal form, which is then multiplied by 100 to give the percentage equivalent — useful for quick comparisons and real-world applications.

A proper fraction has a numerator smaller than its denominator (e.g., 3/4), representing a value less than 1. An improper fraction has a numerator equal to or greater than the denominator (e.g., 7/4), representing a value of 1 or more. Our fraction simplifier handles both types and automatically converts improper fractions to mixed numbers (e.g., 7/4 → 1 and 3/4) for easier interpretation.