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Fraction Calculator with Mixed Numbers and Negatives

Reviewed by Calculator Editorial Team

This fraction calculator handles all fraction operations including mixed numbers and negative values. Whether you need to add, subtract, multiply, or divide fractions, this tool provides accurate results with step-by-step explanations.

How to Use This Calculator

Using our fraction calculator is simple. Follow these steps:

  1. Enter the first fraction in the "First Fraction" field. You can enter mixed numbers by separating the whole number and fraction (e.g., "1 1/2").
  2. Select the operation you want to perform (+, -, ×, ÷).
  3. Enter the second fraction in the "Second Fraction" field using the same format.
  4. Click "Calculate" to get the result.
  5. Review the detailed solution and simplified result.

The calculator will automatically convert mixed numbers to improper fractions, perform the calculation, and simplify the result to its lowest terms.

Formulas Used

This calculator uses standard fraction arithmetic formulas:

Adding Fractions

a/b + c/d = (ad + bc)/bd

Subtracting Fractions

a/b - c/d = (ad - bc)/bd

Multiplying Fractions

a/b × c/d = ac/bd

Dividing Fractions

a/b ÷ c/d = ad/bc

All results are simplified by dividing numerator and denominator by their greatest common divisor (GCD).

Worked Examples

Example 1: Adding Mixed Numbers

Calculate 2 1/3 + 1 2/5

  1. Convert to improper fractions: 7/3 + 7/5
  2. Find common denominator: 15
  3. Convert fractions: 35/15 + 21/15 = 56/15
  4. Simplify: 56/15 = 3 11/15

Example 2: Subtracting Negative Fractions

Calculate -3/4 - (-2/3)

  1. Simplify: -3/4 + 2/3
  2. Find common denominator: 12
  3. Convert fractions: -9/12 + 8/12 = -1/12

These examples demonstrate how the calculator handles mixed numbers and negative values. Try similar problems using our interactive calculator.

FAQ

Can this calculator handle improper fractions?

Yes, the calculator accepts both proper and improper fractions. Simply enter the fraction in the format "a/b" where a is the numerator and b is the denominator.

How does the calculator simplify results?

The calculator finds the greatest common divisor (GCD) of the numerator and denominator and divides both by this value to produce the simplest form of the fraction.

What if I enter a negative mixed number?

The calculator will properly handle negative mixed numbers by converting them to improper fractions and applying the correct arithmetic operations.

Can I use this calculator for decimal conversions?

While this is a fraction calculator, you can convert decimals to fractions by entering them as improper fractions (e.g., 0.75 becomes 3/4).