Decimal to Fraction
The Decimal to Fraction converter turns decimal numbers into simplified fractions.
Decimal to Fraction
What the result means
The decimal is converted to a fraction and simplified to lowest terms.
How to use this calculator
- 1Enter a decimal number.
- 2Press Calculate.
The formula
The calculation uses a standard, verifiable formula. Here it is in its simplest form.
Fraction = round(D × 10^9) / 10^9, then simplify
What each variable means
| Symbol | Name | Description |
|---|---|---|
| D | Decimal | The decimal number. |
Step-by-step example
Example: 0.75
Decimal:0.75
- 10.75 = 75/100
- 2Simplify: 75/100 = 3/4
Result
3/4
What changes the result
- Repeating decimals may not convert exactly.
Edge cases to be aware of
Unusual situations handled correctly
- Zero = 0/1.
Common mistakes
Avoid these errors
- Not simplifying the fraction.
Assumptions
- Finite decimal representation.
Limitations
- Uses 9 decimal places of precision.
Frequently asked questions
How do I convert a decimal to a fraction?+
Write the decimal as a fraction with a power of 10 denominator, then simplify. For example, 0.75 = 75/100 = 3/4.