Mixed Number Calculator

Understanding Mixed Numbers and Fractions

A mixed number combines a whole number with a proper fraction, such as 2 3/4 or 5 1/2. Mixed numbers are commonly used in everyday measurements, cooking recipes, and construction. To perform arithmetic with mixed numbers, you first convert them into improper fractions using the formula: (whole number x denominator + numerator) / denominator. For example, 2 3/4 becomes (2 x 4 + 3) / 4 = 11/4. This calculator handles the conversion automatically, performs the operation, simplifies the result using the greatest common divisor (GCD), and converts back to a mixed number when appropriate.

How to Use This Calculator

1. Enter your first number as a mixed number (e.g., 2 1/2), a fraction (e.g., 3/4), or an integer (e.g., 5)
2. Enter your second number in the same format
3. Select the operation: addition (+), subtraction (-), multiplication (x), or division (/)
4. Click Calculate to see results displayed as both an improper fraction and a simplified mixed number with step-by-step working

Input Format Examples

• Mixed numbers: 2 1/2, 3 3/4, -1 2/3 (whole number, space, fraction)
• Fractions: 3/4, -5/8, 7/2 (numerator/denominator)
• Integers: 5, -3, 0 (whole numbers without fractions)

Key Features

• Automatic conversion between mixed numbers and improper fractions using the formula (whole x denominator + numerator) / denominator
• Result simplification using the greatest common divisor (GCD) so every answer is fully reduced
• Detailed step-by-step solution breakdown showing each stage of the calculation
• Full support for negative mixed numbers, fractions, and integers
• Clear error messages for invalid inputs such as division by zero or incorrect formatting