Math & Algebra Tool

Fraction Simplifier

Reduce fractions to their simplest form with step-by-step explanations.

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Σ The Formula

GCD(a,b) → a/GCD(a,b) / b/GCD(a,b)

Real World Examples

Simple Reduction
12/16 → GCD=4 → 3/4
Large Numbers
45/60 → GCD=15 → 3/4
Improper Fraction
24/18 → GCD=6 → 4/3 (or 1 1/3)
Already Simplified
7/11 → GCD=1 → 7/11 (no change)

# About This Calculator

A Fraction Simplifier reduces a fraction to its lowest terms by finding the Greatest Common Divisor (GCD) of the numerator and denominator, then dividing both by it. A fraction is in simplest form when the only common factor between numerator and denominator is 1.

Simplifying fractions is essential in mathematics for cleaner answers, easier comparisons, and standard form requirements. For example, 12/16 simplifies to 3/4 by dividing both by their GCD of 4. This makes fractions easier to understand and work with in calculations.

The process works for proper fractions (numerator < denominator), improper fractions (numerator > denominator), and even negative fractions. If the GCD is 1, the fraction is already in simplest form and cannot be reduced further.

This tool automatically finds the GCD, performs the division, and shows step-by-step simplification. Perfect for homework, verifying manual work, or quickly reducing any fraction to its simplest form.

How To Use

  1. Enter the Numerator (top number).
  2. Enter the Denominator (bottom number).
  3. Click Simplify Fraction to see the result and steps.

Frequently Asked Questions

What is the simplest form of a fraction?+

A fraction is in simplest form when the numerator and denominator share no common factors other than 1.

How do I simplify a fraction manually?+

Find the Greatest Common Divisor (GCD) of both the numerator and denominator, then divide both numbers by that GCD.

Is Fraction Simplifier free to use?+

Yes, Fraction Simplifier on Matheric is completely free to use. We believe in accessible education and utility for everyone.

How accurate is Fraction Simplifier?+

We use standard mathematical formulas and high-precision computing algorithms to ensure results for Fraction Simplifier are accurate for academic and professional use.

Can I use Fraction Simplifier on my phone?+

Yes! Fraction Simplifier is fully responsive and optimized for all devices, including smartphones, tablets, and desktops.

Do you save my data?+

No. We prioritize your privacy. All calculations are performed in your browser or temporarily processed, and we do not store your personal input data.

About

A Fraction Simplifier reduces a fraction to its lowest terms by finding the Greatest Common Divisor (GCD) of the numerator and denominator, then dividing both by it. A fraction is in simplest form when the only common factor between numerator and denominator is 1.

Simplifying fractions is essential in mathematics for cleaner answers, easier comparisons, and standard form requirements. For example, 12/16 simplifies to 3/4 by dividing both by their GCD of 4. This makes fractions easier to understand and work with in calculations.

The process works for proper fractions (numerator < denominator), improper fractions (numerator > denominator), and even negative fractions. If the GCD is 1, the fraction is already in simplest form and cannot be reduced further.

This tool automatically finds the GCD, performs the division, and shows step-by-step simplification. Perfect for homework, verifying manual work, or quickly reducing any fraction to its simplest form.

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