Mixed Numbers Calculator

About the Mixed Numbers Calculator

The Mixed Numbers Calculator helps you quickly convert and calculate expressions involving mixed numbers and improper fractions. It supports essential operations such as addition, subtraction, multiplication, and division of fractional values. This tool is ideal for students, teachers, and anyone working with fractional arithmetic in mathematics.

What You Can Calculate

• Mixed to Improper Conversion: Converts values like 3 1/4 into an improper fraction.
• Improper to Mixed Conversion: Converts fractions such as 17/5 into a mixed number.
• Add Mixed Numbers: Performs fraction addition with automatic simplification.
• Subtract Mixed Numbers: Handles borrowing and reduction automatically.
• Multiply Mixed Numbers: Multiplies whole and fractional components accurately.
• Divide Mixed Numbers: Uses the reciprocal rule for fractional division.

Formulas Used in the Calculator

The calculator uses standard fraction arithmetic rules and simplification methods:

• Mixed → Improper: (whole × denominator) + numerator
• Improper → Mixed: whole = floor(numerator ÷ denominator)
• Add/Subtract: a/b ± c/d = (ad ± bc) / bd
• Multiply: (a/b × c/d) = (ac) / (bd)
• Divide: (a/b ÷ c/d) = (a/b × d/c)
• Simplification: divide numerator & denominator by their greatest common divisor (GCD)

How to Use the Calculator

1. Select the desired operation such as convert, add, or divide.
2. Enter the whole number, numerator, and denominator fields for each number.
3. The calculator instantly displays the simplified mixed or improper result.

Applications of Mixed Number Calculations

Mixed numbers are common in measurements, cooking, construction, and mathematics education. This calculator simplifies the process of converting between number forms and performing accurate fractional arithmetic, making it valuable for homework, teaching, recipe scaling, and technical problem-solving.