How to Use the Decimal ↔ Fraction Converter
Enter a decimal (e.g., 0.75 or 0.333...) to get the simplified fraction. Or enter a fraction (e.g., 3/4) to get the decimal. Recurring decimals are detected automatically.
Decimal ↔ Fraction Converter Formula
0.75 → 75/100 → GCD(75,100)=25 → 3/4Example Calculation
Convert 0.625 to fraction:
0.625 × 1000 = 625/1000; GCD(625,1000) = 125
5/8
Frequently Asked Questions
How do you convert a recurring decimal to a fraction?
For 0.333...: let x = 0.333...; then 10x = 3.333... → 10x − x = 3 → 9x = 3 → x = 1/3. This algebraic method works for any recurring pattern.