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Fraction Calculator with Whole Numbers and Negatives

Reviewed by Calculator Editorial Team

This fraction calculator handles addition, subtraction, multiplication, and division of fractions and mixed numbers, including whole numbers and negative values. It provides step-by-step solutions and visual representations of the calculations.

How to Use This Calculator

To perform a fraction calculation:

  1. Enter the first number in the "First number" field. You can enter whole numbers, fractions, or mixed numbers.
  2. Select the operation (+, -, ×, ÷) from the dropdown menu.
  3. Enter the second number in the "Second number" field.
  4. Click the "Calculate" button to see the result.
  5. To clear the form, click the "Reset" button.

The calculator will display the result in its simplest form and show the step-by-step solution.

Formulas Used

The calculator uses the following formulas for fraction operations:

// Addition: a/b + c/d = (ad + bc)/bd // Subtraction: a/b - c/d = (ad - bc)/bd // Multiplication: a/b × c/d = (a × c)/(b × d) // Division: a/b ÷ c/d = (a × d)/(b × c)

For mixed numbers, the calculator first converts them to improper fractions before performing the operation.

Worked Examples

Example 1: Adding Fractions

Calculate 1/2 + 3/4:

  1. Find a common denominator: 4
  2. Convert 1/2 to 2/4
  3. Add: 2/4 + 3/4 = 5/4
  4. Convert to mixed number: 1 1/4

Example 2: Subtracting 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: 35/15 - 21/15 = 14/15

Example 3: Multiplying Negative Fractions

Calculate -3/4 × 2/5:

  1. Multiply numerators: -3 × 2 = -6
  2. Multiply denominators: 4 × 5 = 20
  3. Result: -6/20 = -3/10

Frequently Asked Questions

Can I use whole numbers in this calculator?
Yes, you can enter whole numbers directly in the input fields. The calculator will treat them as fractions with a denominator of 1.
How does the calculator handle negative numbers?
The calculator accepts negative numbers in the input fields. It will properly handle the signs during calculations and display the correct result.
What if I enter an invalid fraction?
The calculator will display an error message if you enter an invalid fraction format. Please ensure the fraction is in the correct format (e.g., 1/2 or 1 1/2).
Can I simplify the result automatically?
Yes, the calculator automatically simplifies the result to its simplest form using the greatest common divisor (GCD).