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Calculator with Fractions and Negatives Online

Reviewed by Calculator Editorial Team

This online calculator helps you perform mathematical operations with fractions and negative numbers. Whether you're solving algebra problems, working with mixed numbers, or dealing with signed fractions, this tool provides accurate results and clear explanations.

How to Use This Calculator

Using this calculator is simple. Follow these steps:

  1. Enter the first fraction in the "First Fraction" field. Use the format "a/b" where a is the numerator and b is the denominator.
  2. Select the operation you want to perform (addition, subtraction, multiplication, or division).
  3. Enter the second fraction in the "Second Fraction" field using the same format.
  4. Click the "Calculate" button to see the result.
  5. To start over, 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 standard fraction arithmetic formulas:

Addition of Fractions

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

Subtraction of Fractions

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

Multiplication of Fractions

a/b × c/d = (a × c)/(b × d)

Division of Fractions

a/b ÷ c/d = (a × d)/(b × c)

After performing the operation, the calculator simplifies the result by dividing both the numerator and denominator by their greatest common divisor (GCD).

Worked Examples

Let's look at a few examples to see how the calculator works:

Example 1: Adding Fractions

Calculate 1/4 + 3/8:

  1. Find a common denominator: 8
  2. Convert fractions: 1/4 = 2/8, 3/8 = 3/8
  3. Add numerators: 2/8 + 3/8 = 5/8

The result is 5/8.

Example 2: Subtracting Fractions

Calculate 5/6 - 1/3:

  1. Find a common denominator: 6
  2. Convert fractions: 5/6 = 5/6, 1/3 = 2/6
  3. Subtract numerators: 5/6 - 2/6 = 3/6
  4. Simplify: 3/6 = 1/2

The result is 1/2.

Example 3: Multiplying Fractions

Calculate 2/5 × 3/7:

  1. Multiply numerators: 2 × 3 = 6
  2. Multiply denominators: 5 × 7 = 35
  3. Result: 6/35

The result is 6/35.

Example 4: Dividing Fractions

Calculate 3/4 ÷ 2/3:

  1. Multiply by the reciprocal: 3/4 × 3/2 = 9/8
  2. Simplify: 9/8

The result is 9/8.

FAQ

Can I use negative numbers with this calculator?

Yes, you can enter negative numbers in the fraction format. For example, you can enter -3/4 or 5/-6.

What if I enter an improper fraction?

The calculator will accept and process improper fractions (where the numerator is larger than the denominator). It will simplify the result if possible.

How does the calculator handle mixed numbers?

You should convert mixed numbers to improper fractions before entering them. For example, 1 1/2 should be entered as 3/2.

What if I divide by zero?

The calculator will display an error message if you attempt to divide by zero, as division by zero is undefined in mathematics.