Fraction Calculator

Using this calculator is simple with four easy steps:

1. Enter the numerator and denominator of the first fraction
2. Select the operation type (add, subtract, multiply, divide)
3. Enter the numerator and denominator of the second fraction
4. Results calculate automatically as you type, showing the answer and detailed steps instantly (Expression and Compare modes use the "Calculate" button)

• Auto Simplify: Results automatically reduced to lowest terms
• Step-by-Step: Shows complete calculation process for learning
• Multiple Formats: Simplified fraction, mixed number, decimal, percentage
• Visual Charts: Pie and bar charts to illustrate fraction size
• Smart Common Denominator: Automatically finds LCM for addition/subtraction
• Negative Support: Correctly handles negative fraction operations

This calculator supports the following fraction operations:

Fraction Addition

Find common denominator, add numerators. Example: 1/2 + 1/3 = 3/6 + 2/6 = 5/6

Fraction Subtraction

Similar to addition, find common denominator then subtract numerators. Example: 3/4 - 1/2 = 3/4 - 2/4 = 1/4

Fraction Multiplication

Multiply numerators together and denominators together, then simplify. Example: 2/3 × 3/4 = 6/12 = 1/2

Fraction Division

Dividing by a fraction is the same as multiplying by its reciprocal. Example: 2/3 ÷ 1/2 = 2/3 × 2/1 = 4/3

• Homework Verification: Quickly check if fraction calculation answers are correct
• Learning Aid: Understand fraction operation principles through detailed steps
• Exam Preparation: Get instant feedback while practicing to improve efficiency
• Parent Support: Help parents check their children's math homework
• Teaching Tool: Demonstrate complete fraction operation process in class

Simplification Tips

Find the Greatest Common Divisor (GCD) of numerator and denominator, then divide both by GCD to get the simplest form.

Common Denominator Tips

Find the Least Common Multiple (LCM) of two denominators as the common denominator to make calculations easier.

Improper to Mixed

Divide numerator by denominator. The quotient is the whole part, remainder is the new numerator, denominator stays the same.

Multiplication Shortcuts

In multiplication, you can cross-simplify before multiplying to make calculations easier.

Can the denominator be 0?

No. A denominator of 0 is mathematically undefined. This calculator will display an error message.

How to handle negative fractions?

The negative sign can be placed before the numerator, denominator, or the entire fraction. This calculator automatically processes and standardizes the format.

What is a simplified fraction?

A fraction where the GCD of numerator and denominator is 1, meaning it cannot be reduced further, like 3/4 or 5/7.

Difference between proper, improper, and mixed fractions?

Proper: numerator < denominator (e.g., 1/2). Improper: numerator ≥ denominator (e.g., 5/3). Mixed: whole number + proper fraction (e.g., 1 2/3).

Can I download the results?

Yes! Click the "Export PDF" button to save calculation results, steps, and charts as a PDF file.

• Elementary Students (Grades 4-6): Learning basic fraction concepts and operations
• Middle School Students: Reviewing and reinforcing fraction skills
• Parents: Helping children with math homework
• Math Teachers: Teaching aid tool
• Self-Learners: Practice and verify calculation results