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Fraction Calculator

Simplify, add, subtract, multiply, and divide fractions with our powerful online calculator. Get instant results with step-by-step solutions.

Fraction Calculator

Enter your fractions below and select the operation you want to perform

How It Works

Our fraction calculator makes complex fraction operations simple with just three easy steps

1. Enter Numbers

Input your fractions or mixed numbers. For mixed numbers, enter the whole number and fraction parts separately.

Examples:

  • • Fraction: 3/4
  • • Mixed Number: 2 1/3
  • • Whole Number: 5

2. Select Operation

Choose your operation from our comprehensive list including mixed number calculations.

Available Operations:

  • • Basic Operations (+, -, ×, ÷)
  • • Mixed Number Operations
  • • Fraction Simplification
  • • Decimal Conversions

3. Get Results

Get instant results with detailed steps, including mixed number conversions and simplifications.

Result Features:

  • • Step-by-step solutions
  • • Mixed number conversions
  • • Simplified answers
  • • Decimal equivalents

Additional Tools

Explore our comprehensive collection of mathematical calculators designed to solve various problems

Understanding the Tools

Master fraction calculations with our comprehensive guide and advanced features

Fraction Fundamentals

Understanding fractions is essential for mathematical success. A fraction represents a part of a whole, consisting of a numerator (top number) and denominator (bottom number).

  • Proper fractions have numerators smaller than denominators (e.g., 3/4)
  • Improper fractions have numerators larger than denominators (e.g., 7/4)
  • Mixed numbers combine whole numbers with fractions (e.g., 1 3/4)
  • Equivalent fractions represent the same value (e.g., 1/2 = 2/4 = 3/6)

Basic Operations

Addition: 1/4 + 2/4 = 3/4

Subtraction: 3/4 - 1/4 = 2/4 = 1/2

Multiplication: 1/2 × 3/4 = 3/8

Division: 1/2 ÷ 3/4 = 2/3

Mixed Number Operations

Addition: 2 1/4 + 1 3/4 = 4

Subtraction: 3 1/2 - 1 3/4 = 1 3/4

Multiplication: 1 1/2 × 2 1/3 = 3 1/2

Division: 3 1/2 ÷ 1 1/2 = 2 1/3

Converting Mixed Numbers

To improper fraction: Multiply whole by denominator, add numerator

Example: 2 3/4 = (2 × 4 + 3)/4 = 11/4

Advanced Features

Our fraction calculator goes beyond basic operations, offering advanced features that make complex calculations simple and educational.

Step-by-Step Solutions

See detailed working for every calculation

Automatic Simplification

Results are automatically reduced to lowest terms

Mixed Number Support

Handle calculations with whole numbers and fractions together

Mixed Number Calculator Features

  • • Convert between mixed numbers and improper fractions
  • • Perform all basic operations with mixed numbers
  • • Automatic simplification of results
  • • Step-by-step conversion process
  • • Support for negative mixed numbers

Tips for Mixed Numbers

  • • Always convert to improper fractions first
  • • Perform the operation
  • • Convert back to mixed numbers if needed
  • • Simplify the result

Advanced Concepts

Simplifying Fractions

Divide both numerator and denominator by their greatest common divisor (GCD). Example: 8/12 = 2/3 (GCD = 4)

Converting Mixed Numbers

To convert a mixed number to an improper fraction, multiply the whole number by the denominator and add the numerator. Example: 2 3/4 = 11/4

Decimal Conversions

To convert a fraction to a decimal, divide the numerator by the denominator. To convert a decimal to a fraction, multiply by powers of 10 to eliminate decimal places. Example: 0.75 = 75/100 = 3/4

Common Fraction-Decimal Equivalents

1/2 = 0.5

1/4 = 0.25

3/4 = 0.75

1/3 ≈ 0.333

2/3 ≈ 0.667

1/5 = 0.2

Tips for Working with Fractions

  • Always simplify your final answer
  • Keep denominators positive when possible
  • Check your work using decimal conversions
  • Practice with common fraction-decimal equivalents

Frequently Asked Questions

Find answers to common questions about our fraction calculator