Decimal to Fraction Converter
Convert a decimal number into a simplified fraction.
Decimal to Fraction
Convert decimal numbers to fractions
Tips:
- • Enter decimals like 0.75, 1.25, or 0.333
- • Maximum 6 decimal places recommended
How Decimal to Fraction Conversion Works
A decimal can be converted to a fraction by writing it over a power of 10, then simplifying.
Example: 0.75 = 75/100 = 3/4
Steps
- 1Count decimal places (e.g., 0.125 has 3 places).
- 2Write as an integer over 10^places (125/1000).
- 3Simplify the fraction by dividing numerator and denominator by their GCD.
Examples
| Decimal | Fraction | Simplified |
|---|---|---|
| 0.5 | 5/10 | 1/2 |
| 0.75 | 75/100 | 3/4 |
| 2.125 | 2125/1000 | 17/8 |
Common Mistakes
- Forgetting to simplify the final fraction.
- Confusing repeating decimals (0.333...) with rounded decimals (0.33).
- Typing commas instead of decimal points depending on locale.
Decimal to Fraction FAQs
How do you convert a decimal to a fraction?
Write it over a power of 10 and simplify. Example: 0.75 = 75/100 = 3/4.
Does the calculator simplify fractions automatically?
Yes, it should reduce to lowest terms using the GCD.
How do you handle whole numbers like 2.5?
Convert the decimal part: 2.5 = 25/10 = 5/2, so it becomes 5/2.
What is lowest terms?
When numerator and denominator share no common factor except 1.
Why does 0.125 become 1/8?
0.125 = 125/1000, simplify by 125 → 1/8.
Can repeating decimals be converted exactly?
Yes, but you must enter the repeating pattern, not a rounded value.
If I enter 0.33, will I get 1/3?
Not exactly. 0.33 is 33/100. 1/3 is 0.333..., so 0.33 is only an approximation.
What if my decimal is negative?
The fraction will also be negative after conversion.
What if the decimal has many digits?
It will still convert, but simplifying may be heavier depending on length.
Is 0.1 equal to 1/10 always?
Mathematically yes, but some programming systems represent 0.1 approximately in binary.