Fraction Calculator with Step-by-Step Solutions
Perform arithmetic on fractions with instant simplification and mixed number conversions.
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How to Use the Fraction Calculator: Add, Subtract, Multiply & Divide
- 1Enter the numerator and denominator for your first fraction.
- 2Choose your arithmetic operator (+, -, *, /) from the selector.
- 3Enter the numerator and denominator for your second fraction.
- 4View the exact simplified fraction, mixed number, and decimal representation instantly.
Formula & How It Works
Fraction Operations & Simplification
Uses greatest common divisor (GCD) to reduce cross-multiplied fractions to lowest terms.
Worked Examples
Adding 1/2 and 1/3
Input: 1/2 + 1/3
Explanation: Find common denominator 6: (3/6) + (2/6) = 5/6, already in lowest terms.
Frequently Asked Questions
What is the difference between proper and improper fractions?▼
A proper fraction has a numerator smaller than its denominator (e.g., 3/4), whereas an improper fraction has a numerator equal to or greater than its denominator (e.g., 5/3).
How do you divide two fractions?▼
Keep the first fraction, change the division sign to multiplication, flip the second fraction to its reciprocal, and multiply across.
Can this calculator simplify negative fractions?▼
Yes, signs are handled properly and negative denominators are automatically normalized to the numerator.
How is a mixed number converted to an improper fraction?▼
Multiply the whole number by the denominator, add the numerator, and place the result over the original denominator.
Quick Reference & Conversion Table
| Fraction | Simplified Form | Decimal Value | Percentage |
|---|---|---|---|
| 2/4 | 1/2 | 0.5000 | 50.0% |
| 4/6 | 2/3 | 0.6667 | 66.7% |
| 6/8 | 3/4 | 0.7500 | 75.0% |
| 8/10 | 4/5 | 0.8000 | 80.0% |
⚠️ Common Pitfalls to Avoid
- •Adding denominators directly instead of finding a common multiple.
- •Forgetting to invert the second fraction when performing division.
💡 Practical Real-World Uses
- •Scaling culinary baking recipes up or down.
- •Carpentry and construction measurements involving fractional inches.
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