Decimal to Fraction Converter
Convert any decimal number to its fraction equivalent with step-by-step explanation
Step-by-Step Conversion
What Does This Tool Do?
The Decimal to Fraction Converter transforms any decimal number into its fractional equivalent. Enter a decimal like 0.75, and instantly see that it equals 3/4. The tool shows both the original unsimplified fraction and the reduced form, converts to a mixed number when the value is greater than one, and walks you through the conversion process step by step. It also handles repeating decimals: enable the repeating toggle and enter 0.333 to get 1/3, or 0.142857 to get 1/7. This is useful for students learning number conversions, cooks adjusting recipe measurements, and engineers who need exact fractional values.
How to Use
- Enter a decimal number in the input field. You can type values like 0.5, 3.125, or 0.666.
- View the results that appear instantly: the simplified fraction, original fraction, mixed number (if applicable), and percentage.
- Enable the repeating toggle if your decimal repeats (like 0.333... for 1/3). The tool will detect the repeating pattern and produce the exact fraction.
- Read the step-by-step breakdown to understand how the conversion was performed.
Conversion Examples
| Decimal | Fraction | Simplified | Type |
|---|---|---|---|
| 0.5 | 5/10 | 1/2 | Terminating |
| 0.25 | 25/100 | 1/4 | Terminating |
| 0.75 | 75/100 | 3/4 | Terminating |
| 0.125 | 125/1000 | 1/8 | Terminating |
| 0.333... | — | 1/3 | Repeating |
| 0.666... | — | 2/3 | Repeating |
| 0.142857... | — | 1/7 | Repeating |
| 0.1 | 1/10 | 1/10 | Terminating |
| 1.5 | 15/10 | 3/2 | Terminating |
| 2.75 | 275/100 | 11/4 | Terminating |
FAQ
How do I enter a repeating decimal?
Check the "Treat as repeating decimal" box, then type the decimal digits that repeat. For example, type 0.333 with the toggle enabled and the tool recognizes it as 0.333... repeating, giving you 1/3. For a number like 1/7, type 0.142857 with the toggle on.
What if my decimal has many digits, like 0.3752?
The tool handles decimals of any length. It will place the digits over the appropriate power of 10 (for example, 3752/10000) and then simplify the fraction by dividing both by their greatest common divisor.
Can I convert negative decimals?
Yes. Enter a negative decimal like -0.75 and the tool will produce -3/4. The sign is carried through to the simplified fraction and mixed number.
Why does the mixed number show a dash for values less than 1?
Mixed numbers are only meaningful when the value is 1 or greater. For decimals between -1 and 1 (exclusive), the fraction is already a proper fraction, so a mixed number representation is not needed.
How does the tool handle 0.999...?
With the repeating toggle enabled, 0.999... correctly converts to 1/1, which equals 1. This is mathematically correct: the repeating decimal 0.999... is exactly equal to 1.