🔢 Fraction Calculator
Add, subtract, multiply, and divide fractions with step-by-step solutions
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What is a Fraction Calculator?
A fraction calculator is a mathematical tool that performs operations (addition, subtraction, multiplication, and division) on fractions. It automatically finds common denominators, simplifies results, and converts fractions to decimals and mixed numbers.
Fractions represent parts of a whole and are essential in mathematics, cooking, construction, and many real-world applications. Our calculator makes working with fractions easy and accurate.
Why Use Our Fraction Calculator?
- Multiple Operations: Add, subtract, multiply, and divide fractions
- Automatic Simplification: Results are automatically simplified to lowest terms
- Multiple Formats: See results as fractions, decimals, and mixed numbers
- Step-by-Step: Understand how calculations are performed
- No Common Denominator Needed: Calculator handles all the math automatically
How to Use the Fraction Calculator
- Enter First Fraction: Input the numerator (top number) and denominator (bottom number) of the first fraction
- Select Operation: Choose addition (+), subtraction (−), multiplication (×), or division (÷)
- Enter Second Fraction: Input the numerator and denominator of the second fraction
- Calculate: Click the calculate button to see the result
- View Results: See the answer as a simplified fraction, decimal, and mixed number
Understanding Fraction Operations
- Addition: Find common denominator, add numerators, simplify
- Subtraction: Find common denominator, subtract numerators, simplify
- Multiplication: Multiply numerators and denominators, simplify
- Division: Multiply by the reciprocal (flip second fraction), then multiply, simplify
Fraction Tips
- Simplify Fractions: Always reduce fractions to lowest terms for clarity
- Common Denominators: Needed for addition and subtraction
- Mixed Numbers: Combine whole numbers with fractions (e.g., 2 1/2)
- Improper Fractions: Numerator larger than denominator (e.g., 5/3)
- Negative Fractions: Can be entered with negative numerator or denominator
Frequently Asked Questions
How do I add fractions with different denominators?
To add fractions with different denominators, find the least common multiple (LCM) of the denominators, convert both fractions to have that common denominator, then add the numerators. Our calculator does this automatically.
What is a simplified fraction?
A simplified fraction is one where the numerator and denominator have no common factors other than 1. For example, 2/4 simplifies to 1/2. Our calculator automatically simplifies all results.
Can I use negative fractions?
Yes, you can enter negative fractions by using a negative numerator. For example, -1/2 represents negative one-half. The calculator handles all negative fraction operations correctly.
What’s the difference between a fraction and a mixed number?
A fraction shows parts of a whole (e.g., 3/4). A mixed number combines a whole number with a fraction (e.g., 1 3/4 means 1 + 3/4). Our calculator shows both formats for your convenience.