Fraction to Decimal Converter | Convert Fractions to Decimal Numbers
Convert any fraction to a decimal number with our free online calculator. Get decimal equivalents, percentages, and step-by-step explanations for fraction to decimal conversion.
Convert Fraction to Decimal
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Common Fraction to Decimal Conversions
How to Convert Fractions to Decimals
Method 1: Division
- Divide the numerator by the denominator
- Perform long division if needed
- Round to desired decimal places
- Check if decimal repeats
Method 2: Calculator Method
- Enter the numerator
- Divide by the denominator
- Use the decimal button if needed
- Convert to percentage by multiplying by 100
Example Conversions
| Fraction | Division Steps | Decimal | Percentage |
|---|---|---|---|
| 1/2 | 1 ÷ 2 = 0.5 | 0.5 | 50% |
| 1/3 | 1 ÷ 3 = 0.333... | 0.333... | 33.33% |
| 3/4 | 3 ÷ 4 = 0.75 | 0.75 | 75% |
Tips and Special Cases
Terminating Decimals
These fractions result in exact decimal values (e.g., 1/2 = 0.5, 3/4 = 0.75)
Repeating Decimals
Some fractions result in repeating decimals (e.g., 1/3 = 0.333..., 2/3 = 0.666...)
Mixed Numbers
Convert mixed numbers to improper fractions first (e.g., 1 1/2 = 3/2 = 1.5)
Common Applications
Academic Uses
- Mathematics and calculations
- Grade calculations
- Scientific measurements
- Statistical analysis
Real-World Uses
- Financial calculations
- Construction measurements
- Cooking and recipes
- Sports statistics
About this Calculator
Convert any fraction to a decimal number with our free online calculator. Get decimal equivalents, percentages, and step-by-step explanations for fraction to decimal conversion.