Decimal to Fraction Converter
To convert a decimal to fraction, write the decimal over 1, multiply both by 10 for each decimal place, then simplify. Example: 0.75 = 75/100 = 3/4. For repeating decimals like 0.333... use algebra: x = 0.333..., 10x = 3.333..., 9x = 3, x = 1/3.
Convert decimals to fractions. Shows simplified fraction and mixed number form. Visual representation of the fraction.
Enter Decimal
Common Decimals Reference
| Decimal | Fraction | Percentage |
|---|---|---|
| 0.125 | 1/8 | 12.5% |
| 0.25 | 1/4 | 25% |
| 0.333... | 1/3 | 33.33% |
| 0.5 | 1/2 | 50% |
| 0.666... | 2/3 | 66.67% |
| 0.75 | 3/4 | 75% |
How to Use
- Enter your value in the input field
- Click the Calculate/Convert button
- Copy the result to your clipboard
Frequently Asked Questions
- How do I convert a decimal to a fraction?
- Write the decimal over a power of 10 based on decimal places: 0.75 = 75/100, 0.125 = 125/1000. Then simplify by finding GCD. 75/100: GCD is 25, so 75÷25/100÷25 = 3/4. For repeating decimals, use algebra: if x = 0.333..., then 10x = 3.333..., so 9x = 3, x = 1/3.
- How do I simplify a fraction?
- Find the Greatest Common Divisor (GCD) of numerator and denominator, then divide both by it. For 48/64: factors of 48 are 1,2,3,4,6,8,12,16,24,48; factors of 64 are 1,2,4,8,16,32,64. GCD is 16. 48÷16/64÷16 = 3/4.
- What are common decimal to fraction conversions?
- Common conversions: 0.5 = 1/2, 0.25 = 1/4, 0.75 = 3/4, 0.333... = 1/3, 0.666... = 2/3, 0.125 = 1/8, 0.375 = 3/8, 0.625 = 5/8, 0.875 = 7/8, 0.2 = 1/5, 0.1 = 1/10, 0.0625 = 1/16.
- How do I convert repeating decimals to fractions?
- For repeating decimals: 0.333... = 1/3, 0.666... = 2/3, 0.111... = 1/9. General method: if x = 0.abab... (2 repeating digits), multiply by 100: 100x = ab.abab..., subtract: 99x = ab, so x = ab/99. Example: 0.363636... = 36/99 = 4/11.
- Why are fractions sometimes more accurate than decimals?
- Some fractions cannot be expressed exactly as decimals: 1/3 = 0.333... (infinite). In calculations, using fractions preserves precision. Computers store decimals with limited precision (floating-point errors), so 0.1 + 0.2 might equal 0.30000000000000004 instead of 0.3.