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Online Mixed Fraction Calculator
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Online Mixed Fraction Calculator

Easily perform addition, subtraction, multiplication, and division with mixed fractions using precise fraction arithmetic. Simplify results and convert between mixed and improper fractions quickly.

IMPROPER FRACTION

1 × 3 + 2

3

=

5

3

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What Is This Tool?

This calculator helps users perform arithmetic operations on mixed fractions by converting them into improper fractions, applying standard fraction rules, and simplifying the outcome. It's designed to provide accurate results without floating-point rounding errors.

How to Use This Tool?

  • Enter the whole number and fractional parts of your first mixed fraction
  • Input the whole number and fractional parts of your second mixed fraction
  • Choose the desired arithmetic operation (add, subtract, multiply, divide)
  • Click the calculate button to see the simplified result
  • Review the output displayed as a mixed fraction

Key Features

  • Supports addition, subtraction, multiplication, and division of mixed fractions
  • Automatically converts mixed fractions to improper fractions for calculation
  • Simplifies results and converts back to mixed fractions
  • Uses exact fraction arithmetic to ensure precision
  • User-friendly and fast browser-based interface

Examples

  • Calculate 3 2/5 minus 1 1/4: Convert to improper fractions 17/5 and 5/4, subtract to get 43/20, then convert back to 2 3/20

Common Use Cases

  • Students learning fraction arithmetic
  • Educators preparing teaching materials
  • Cooks adjusting recipe quantities
  • DIY builders measuring materials
  • Anyone working with real-world mixed fraction measurements

Tips & Best Practices

  • Always enter mixed fractions accurately by specifying whole numbers and fractional parts separately
  • Verify the denominator is never zero
  • Use the tool for numeric mixed fractions only, avoiding algebraic expressions
  • Review calculated results by comparing with manual fraction methods for learning purposes

Limitations

  • This tool only supports numeric mixed fractions
  • It does not process algebraic or symbolic expressions
  • Requires proper input formatting for accurate results

Frequently Asked Questions

How does the calculator handle mixed fractions?
It first converts mixed fractions to improper fractions by using the formula a b/c = (ac + b)/c before performing arithmetic operations.

Can I use this tool for algebraic expressions with fractions?
No, this calculator only supports numeric mixed fractions and does not handle algebraic expressions.

What operations can I perform with this tool?
You can add, subtract, multiply, and divide mixed fractions accurately with this calculator.

Key Terminology

Mixed Fraction
A number consisting of a whole number and a fractional part, expressed as a b/c.
Improper Fraction
A fraction where the numerator is greater than or equal to the denominator.
Numerator
The top number in a fraction representing the number of parts considered.
Denominator
The bottom number in a fraction representing the total number of equal parts.

Quick Knowledge Check

What is the first step when using the mixed fraction calculator?