Fraction Calculator

More Details About Fraction Operations

Enter your fractions in the input fields above. The top number is the numerator, and the bottom number is the denominator. Select your desired operation and click calculate.

Example Calculation

Free online fraction calculator perfect for students and teachers: Example shows adding 3/4 + 1/2 = 5/4, with instant conversion to decimal (1.250), mixed number (1 1/4), and percentage (125.0%). Ideal for checking math homework, teaching fractions, and understanding fraction conversions.

Example: Adding fractions 3/4 + 1/2 = 5/4, showing simplified result with decimal, mixed number, and percentage equivalents.

Available Operations

  • Addition (+)
  • Subtraction (−)
  • Multiplication (×)
  • Division (÷)

Fraction Operations Formulas

Essential fraction calculator formulas for students and teachers: Learn how to add fractions (a/b + c/d = (ad+bc)/bd), subtract fractions (a/b - c/d = (ad-bc)/bd), multiply fractions (a/b × c/d = ac/bd), and divide fractions (a/b ÷ c/d = ad/bc). Perfect for math homework and classroom teaching.

Where:

  • a, c = numerators
  • b, d = denominators
  • All denominators must be non-zero

Mixed Numbers Calculator

Simplify Fractions Calculator

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More Details About Fraction Simplification

Simplifying a fraction means reducing it to its lowest terms by dividing both the numerator and denominator by their greatest common divisor (GCD).

Example Calculation

Fraction simplification example showing 24/36 simplified to 2/3 using step-by-step GCD method. Perfect for learning fraction reduction and finding equivalent fractions. Includes decimal and percentage conversions for comprehensive understanding #fractions #math #education

Example: Simplifying 24/36 to 2/3 by dividing both numbers by their GCD of 12.

How It Works

  1. Find the GCD of the numerator and denominator
  2. Divide both numbers by the GCD
  3. The resulting fraction is in its simplest form

Example Steps:

  • Original fraction: 24/36
  • GCD of 24 and 36 is 12
  • 24 ÷ 12 = 2 (new numerator)
  • 36 ÷ 12 = 3 (new denominator)
  • Simplified fraction: 2/3

Decimal to Fraction Calculator

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Fraction to Decimal Calculator

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More Details About Fraction to Decimal Conversion

Convert any fraction to its decimal and percentage equivalents. The calculator handles both proper and improper fractions, providing results in standard decimal and scientific notation.

How It Works

  1. Enter the numerator (top number)
  2. Enter the denominator (bottom number)
  3. Click Calculate to see the decimal equivalent
  4. View results in decimal, percentage, and scientific notation

Common Fraction to Decimal Examples:

  • 1/2 = 0.5 = 50%
  • 1/4 = 0.25 = 25%
  • 3/4 = 0.75 = 75%
  • 1/3 = 0.333... = 33.33%
  • 2/3 = 0.666... = 66.67%

Example Calculation

Free online fraction to decimal calculator showing 3/4 converted to 0.75, with instant conversion to percentage (75%) and scientific notation (7.5000e-1). Perfect for students, teachers, and anyone working with fraction conversions. Features clear display and multiple number formats.

Example: Converting fraction 3/4 to decimal 0.75, showing decimal, percentage, and scientific notation formats.

Conversion Formulas

Master fraction to decimal conversions with our comprehensive formula guide. Learn division method (3/4 = 0.75), percentage conversion (75%), and scientific notation (7.5 × 10⁻¹). Perfect for students, teachers, and professionals. Includes step-by-step examples and multiple number formats for better understanding.

Step-by-step formulas showing division method, percentage conversion, and scientific notation representation.

Big Number Fraction Calculator

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About Big Number Fraction Calculator

This calculator handles very large integers and simplifies them to their lowest terms. Enter whole numbers only (no decimals or commas).

Example Calculation

Free online big number fraction calculator handling large integers up to 20 digits. Shows multiplication of 123456789/987654321 × 987654321/123456789, with automatic simplification, mixed number conversion, and percentage calculation. Perfect for mathematicians, engineers, and students working with large fractions.

Example: Calculating with large numbers (123456789/987654321), showing simplified result with mixed number and decimal equivalents.

Formula Guide

Essential big number fraction formulas: Learn how to perform operations with large fractions (up to 20 digits). Shows addition (a/b + c/d), multiplication (a/b × c/d), and simplification using GCD method. Perfect for advanced mathematics, engineering calculations, and precise fraction arithmetic.

Step-by-step formulas showing fraction operations and simplification methods for large numbers.

Usage Notes:

  • Maximum input: 20 digits per number
  • Denominator cannot be zero
  • Results are automatically simplified
  • No scientific notation used

Features

  • ✓ Perform basic fraction operations (add, subtract, multiply, divide)
  • ✓ Automatic fraction simplification
  • ✓ View results in multiple formats:
    • • Simplified fraction
    • • Decimal representation
    • • Mixed number format
    • • Percentage equivalent