Decimal to Fraction Calculator
Convert standard floating-point and terminating decimals into exact rational fractions in lowest terms. Shows numerator, denominator, and mixed number representations.
Decimal value to convert (e.g. 0.625 or 1.75)
Fraction reduced to lowest coprime terms
How to Use This Calculator
- Enter the decimal number in the input box.
- View the simplified proper or improper fraction immediately.
- Check the mixed number form and percentage representation.
Formula & Calculation Methodology
Any terminating decimal is converted by placing digits over powers of 10 and dividing both by their greatest common divisor (GCD). Continued fractions resolve recurring patterns.
Worked Example
Converting 0.625
Converting 1.75
Frequently Asked Questions
How does 0.625 convert to 5/8?↓
0.625 is written as 625/1000. Dividing both numerator and denominator by their greatest common divisor (125) produces 5/8.
Can negative decimals be converted?↓
Yes. The negative sign is carried directly into the fraction numerator (e.g. -0.5 converts to -1/2).
Can all numbers be converted to a fraction?↓
Only rational numbers can be represented as fractions. Irrational numbers like pi or sqrt(2) have non-terminating, non-repeating decimals and can only be approximated.
What is the conversion precision limit?↓
The algorithm evaluates fractions up to a denominator of 100,000 to guarantee fast, exact conversions without freezing.
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Source Citation & Disclaimer
Informational tool only; not licensed tax, legal, or financial advice.