🎯 About Decimal Fraction Calculator
Our free Decimal to Fraction and Fraction to Decimal calculator helps you convert between these two number formats instantly. Perfect for math homework, cooking measurements, construction projects, and more.
The calculator shows step-by-step solutions, simplifies fractions automatically, and converts to mixed numbers when applicable.
📖 How to Use
Converting Decimal to Fraction:
- Click "Decimal → Fraction" tab
- Enter your decimal number (e.g., 0.75)
- Click "Convert to Fraction"
- View the simplified fraction and steps
Converting Fraction to Decimal:
- Click "Fraction → Decimal" tab
- Enter numerator (top number)
- Enter denominator (bottom number)
- Click "Convert to Decimal"
- View the decimal result and percentage
🔄 How Conversion Works
Decimal to Fraction Method:
- Count decimal places (e.g., 0.75 has 2 decimal places)
- Write as fraction over power of 10 (75/100)
- Find GCD (Greatest Common Divisor)
- Simplify by dividing both by GCD
- Convert to mixed number if improper fraction
Fraction to Decimal Method:
- Divide numerator by denominator
- The result is the decimal equivalent
- Example: 3/4 = 3 ÷ 4 = 0.75
📚 Example Conversions
Decimal to Fraction Examples:
- 0.5 = 1/2 (one half)
- 0.75 = 3/4 (three quarters)
- 0.125 = 1/8 (one eighth)
- 1.5 = 3/2 = 1 1/2 (one and a half)
- 0.333 ≈ 1/3 (one third)
Fraction to Decimal Examples:
- 1/2 = 0.5
- 1/4 = 0.25
- 3/8 = 0.375
- 2/3 = 0.666... (repeating)
- 5/6 = 0.833...
✨ Key Features
- Two-Way Conversion: Decimal to fraction and fraction to decimal
- Automatic Simplification: Reduces fractions to lowest terms
- Mixed Numbers: Converts improper fractions to mixed numbers
- Step-by-Step: Shows detailed solution process
- Percentage Display: Shows percentage equivalent
- Quick Reference: Common conversion table included
- 100% Free: No registration required
💡 Common Use Cases
- Cooking & Baking: Convert recipe measurements
- Math Homework: Solve fraction and decimal problems
- Construction: Convert measurements for building projects
- Sewing & Crafts: Calculate fabric measurements
- Finance: Convert interest rates and percentages
- Sports Statistics: Convert batting averages, percentages
- Engineering: Precise measurements and calculations
💡 Tips & Tricks
- Repeating decimals (0.333...) can't be exactly represented
- To simplify a fraction, divide both numbers by their GCD
- Mixed numbers are easier to visualize (1 1/2 vs 3/2)
- Terminating decimals convert to simple fractions
- Use the quick reference for common conversions
- Remember: 0.5 = 1/2, 0.25 = 1/4, 0.75 = 3/4