Decimal to Fraction Converter | Convert Decimal Numbers to Fractions
Convert any decimal number to a fraction with our free online calculator. Get simplified fractions, mixed numbers, and step-by-step explanations for decimal to fraction conversion.
Convert Decimal to Fraction
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Common Decimal to Fraction Conversions
How to Convert Decimals to Fractions
Method 1: Moving Decimal Point
- Multiply the decimal by a power of 10 to remove the decimal point
- Use the same power of 10 as the denominator
- Simplify the fraction by finding the GCD
- Reduce the fraction to lowest terms
Method 2: Using Fractions
- Write the decimal as a fraction over 1
- Multiply both top and bottom by appropriate power of 10
- Find the GCD of numerator and denominator
- Divide both numbers by the GCD
Example Conversions
| Decimal | Steps | Final Fraction |
|---|---|---|
| 0.75 | 0.75 × 100 = 75/100 ÷ 25 = 3/4 | 3/4 |
| 0.5 | 0.5 × 10 = 5/10 ÷ 5 = 1/2 | 1/2 |
| 0.125 | 0.125 × 1000 = 125/1000 ÷ 125 = 1/8 | 1/8 |
Tips for Converting Decimals to Fractions
Terminating vs. Repeating Decimals
Terminating decimals (like 0.5) convert to simpler fractions than repeating decimals (like 0.333...)
Mixed Numbers
For decimals greater than 1, convert to mixed numbers for clearer representation
Simplification
Always simplify fractions by dividing both numerator and denominator by their GCD
About this Calculator
Convert any decimal number to a fraction with our free online calculator. Get simplified fractions, mixed numbers, and step-by-step explanations for decimal to fraction conversion.