Fraction Calculator

About This Fraction Calculator

This free online fraction calculator handles all common fraction operations with step-by-step solutions. It simplifies fractions automatically, converts between mixed numbers and improper fractions, and compares fractions to show which is larger.

How It Works

Enter your fractions as numerator and denominator. For mixed numbers (e.g., 1 1/2), enter the whole number in the Whole field. The calculator uses GCD-based simplification and cross-multiplication for accurate, deterministic results. Everything runs in your browser - no data is sent to any server.

Why AI Cannot Do Fraction Math

Large language models hallucinate fraction arithmetic because they predict text patterns rather than computing exact GCD, LCM, and cross-multiplication. They frequently produce:

• Wrong simplification (e.g., saying 4/8 = 1/3 instead of 1/2)
• Incorrect cross-multiplication results
• Mixed number conversion errors
• Different answers for the same problem across queries

This fraction calculator uses deterministic math - the same input always produces the same correct output.

Frequently Asked Questions

How do I enter a mixed number?

Enter the whole number in the Whole field, then the numerator and denominator in their fields. For example, "1 1/2" is Whole=1, Numerator=1, Denominator=2.

What if I enter 0 as denominator?

A denominator of 0 is undefined in mathematics. The calculator will show an error message if you enter 0 as a denominator.

Can I use negative fractions?

Yes. Enter a negative sign in the numerator to represent a negative fraction.

Does this tool save my data?

No. All calculations happen in your browser. Nothing is stored or transmitted to any server.

Is this tool free?

Yes, completely free. No signup, no ads, no limits.

What is a simplified fraction?

A fraction is simplified (in lowest terms) when the numerator and denominator share no common factors other than 1. For example, 3/6 simplifies to 1/2.