Toollance

Fraction Calculator

Add, subtract, multiply, or divide two fractions. Results are automatically simplified and shown as both a fraction and a decimal.

What is a Fraction Calculator?

This tool performs arithmetic on two fractions and returns the result as a simplified fraction and decimal equivalent. It supports addition, subtraction, multiplication, and division.

Formulas

OperationFormula
Addition(a/b) + (c/d) = (ad + bc) / bd
Subtraction(a/b) − (c/d) = (ad − bc) / bd
Multiplication(a/b) × (c/d) = ac / bd
Division(a/b) ÷ (c/d) = ad / bc

Results are simplified using the Greatest Common Divisor (GCD) algorithm.

How to use this tool

  1. Enter the numerator and denominator for the first fraction
  2. Select an operation (+, −, ×, ÷)
  3. Enter the numerator and denominator for the second fraction
  4. Click Calculate

Example use cases