Fraction Calculator

Add, subtract, multiply & divide fractions

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About Fraction Calculator

A fraction calculator that performs arithmetic operations on fractions: addition, subtraction, multiplication, and division. Automatically finds common denominators, simplifies results to lowest terms, and converts between improper fractions and mixed numbers. Shows step-by-step solutions. All processing is client-side. Essential for math students learning fractions, teachers, and anyone needing precise fractional calculations.

Fraction Calculator Features

  • 4 operations
  • Auto simplify
  • Mixed numbers
  • Step-by-step
  • Decimal conversion
Fraction arithmetic requires finding common denominators (for +/-) or cross-multiplying (for ×/÷). This calculator handles all four operations, automatically simplifies results, and shows step-by-step solutions — making it perfect for learning or verifying manual calculations.

How to Use

Enter two fractions:

  • Numerator/Denominator: Enter each part
  • Operation: Choose +, −, ×, ÷
  • Result: Simplified with steps

Fraction Rules

  • 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 = a/b × d/c

Simplifying

Divide numerator and denominator by their GCD. Example: 6/8 → GCD(6,8)=2 → 3/4.

Step-by-Step Instructions

  1. 1Enter the first fraction (numerator/denominator).
  2. 2Select the operation (+, −, ×, ÷).
  3. 3Enter the second fraction.
  4. 4View the simplified result.
  5. 5Check the step-by-step solution.

Fraction Calculator — Frequently Asked Questions

How do I add fractions with different denominators?+

Find the LCD (least common denominator), convert both fractions, then add numerators. 1/3 + 1/4: LCD=12, so 4/12 + 3/12 = 7/12.

What's a mixed number?+

A whole number plus a fraction: 2½ = 2+½ = 5/2. Convert by: whole×denominator + numerator = new numerator.

How do I divide fractions?+

Multiply by the reciprocal (flip the second fraction). 2/3 ÷ 4/5 = 2/3 × 5/4 = 10/12 = 5/6.

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