🔢 Decimal to Fraction Calculator
Convert decimals to simplified fractions
How Decimal to Fraction Conversion Works
- 1Enter a decimal number (e.g., 0.75).
- 2The decimal is written as a fraction over a power of 10 (e.g., 75/100).
- 3The greatest common divisor (GCD) of the numerator and denominator is found.
- 4Both are divided by the GCD to simplify (75/100 becomes 3/4).
- 5If the value is greater than 1, it can also be expressed as a mixed number.
About Decimal to Fraction Calculator
Convert any decimal number to a simplified fraction instantly. Handles repeating decimals, mixed numbers, and shows step-by-step simplification using the GCD method.
Frequently Asked Questions
How do I convert 0.333... to a fraction?
The repeating decimal 0.333... equals 1/3. The tool recognizes common repeating patterns and converts them to their exact fractional form.
What is a mixed number?
A mixed number combines a whole number and a fraction, like 2 3/4. It represents the same value as the improper fraction 11/4.
Can all decimals be converted to fractions?
All terminating and repeating decimals can be expressed as fractions. Non-repeating, non-terminating decimals like pi are irrational and cannot be expressed as exact fractions.