Fraction Calculator - Add, Subtract, Multiply, Divide Fractions
Perform fraction operations with step-by-step explanations. Perfect for students and math enthusiasts.
What Is a Fraction Calculator?
A fraction calculator performs arithmetic operations on fractions (numerators and denominators). It handles addition, subtraction, multiplication, and division of fractions, automatically simplifying the result and showing step-by-step explanations. This tool is invaluable for students, teachers, and anyone working with fractions in daily life.
How to Use the Fraction Calculator
- Enter the first fraction — Input the numerator and denominator for Fraction 1.
- Select an operation — Choose from +, −, ×, or ÷.
- Enter the second fraction — Input the numerator and denominator for Fraction 2.
- Click "Calculate" — The tool shows the result and step-by-step explanation.
Fraction Operations
| Operation | How It Works | Example |
|---|---|---|
| Addition | Find common denominator, add numerators | 1/2 + 1/3 = 5/6 |
| Subtraction | Find common denominator, subtract numerators | 3/4 − 1/4 = 1/2 |
| Multiplication | Multiply numerators, multiply denominators | 2/3 × 3/4 = 6/12 = 1/2 |
| Division | Multiply by the reciprocal | 2/3 ÷ 3/4 = 2/3 × 4/3 = 8/9 |
Example Calculations
| Operation | Result | Steps |
|---|---|---|
| 1/2 + 1/3 | 5/6 | 3/6 + 2/6 = 5/6 |
| 3/4 − 1/4 | 1/2 | 3/4 − 1/4 = 2/4 = 1/2 |
| 2/3 × 3/4 | 1/2 | 6/12 = 1/2 |
| 2/3 ÷ 3/4 | 8/9 | 2/3 × 4/3 = 8/9 |
| 1/4 + 1/4 | 1/2 | 1/4 + 1/4 = 2/4 = 1/2 |
Practical Uses
- Education: Learning and practicing fraction operations
- Cooking: Adjusting recipe measurements
- Construction: Working with measurements and proportions
- Finance: Calculating percentages and ratios
- Everyday Math: Solving real-world fraction problems
Frequently Asked Questions
What is a fraction?
A fraction represents a part of a whole. It consists of a numerator (top number) and a denominator (bottom number).
How do I add fractions with different denominators?
Find the least common denominator (LCD), convert both fractions to equivalent fractions with the LCD, then add the numerators.
Can I use negative numbers?
Yes, you can enter negative numbers for numerators and denominators. The calculator will handle them correctly.
What is the reciprocal of a fraction?
The reciprocal of a fraction is obtained by swapping the numerator and denominator. For example, the reciprocal of 3/4 is 4/3.
Is this fraction calculator free?
Yes, our fraction calculator is completely free to use. No registration, no subscription, no hidden costs.