Fraction Calculator

Solve fraction math problems accurately. Handles mixed numbers, improper fractions, and provides step-by-step simplification.

Key Takeaways & Quick Facts

Primary Purpose

Add, subtract, multiply, and divide fractions.

Execution Environment

100% Client-Side In-Browser (Zero Cloud Uploads)

Standard Verification

Calculations tested against standard benchmarks

How to Use Fraction Calculator

Enter the numerator (top number) and denominator (bottom number) for your first fraction.
Select the mathematical operation (+, -, ×, ÷).
Enter the numerator and denominator for your second fraction.
Click Calculate to see the result.
The calculator will display the simplified fraction, the mixed number equivalent (if applicable), and the decimal value.

How it Works

The Fraction Calculator uses exact integer arithmetic to perform operations. Rather than converting fractions to decimals and risking floating-point errors, it finds common denominators for addition and subtraction, multiplies directly across, and cross-multiplies for division. It then uses the Greatest Common Divisor (GCD) algorithm to perfectly simplify the final result.

Examples

Input: 1/2 + 1/3

Result: 5/6 (0.8333...)

Input: 3/4 × 2/5

Result: 3/10 (0.3)

Frequently Asked Questions

How do you add fractions?

To add fractions with different denominators, you must first find a common denominator. Multiply the top and bottom of each fraction so the denominators match, then add the numerators together while keeping the denominator the same.

How do you simplify a fraction?

A fraction is simplified when the numerator and denominator have no common factors other than 1. You divide both the top and bottom numbers by their Greatest Common Divisor (GCD).

Formula Audited & Client-Side Private

Calculations are verified against standard mathematical and banking benchmarks. Data stays on your device in local memory.

Our Verification Standards →