Conversor de Decimal a Fracción Gratis
Convierte números decimales a fracciones simplificadas. Obtén la fracción más simple al instante.
Approximate Numerator
3
Approximate Denominator8
Verification (decimal)0.37500000
Fórmula
Decimal to Fraction Converter
Method
1. Multiply the decimal by the max denominator 2. Round to the nearest integer to get the numerator 3. Use the GCD (Greatest Common Divisor) to simplify 4. Divide both numerator and denominator by the GCD
Example: 0.375 with max denominator 1000 → 375/1000 → GCD(375,1000) = 125 → 3/8
Ejemplo Resuelto
Convert 0.375 to a fraction.
- 010.375 × 1000 = 375 (numerator before simplification)
- 02GCD(375, 1000) = 125
- 03Numerator = 375 / 125 = 3
- 04Denominator = 1000 / 125 = 8
- 05Result: 3/8
Preguntas Frecuentes
How does this converter work?
It multiplies the decimal by the max denominator, rounds to get an integer numerator, then simplifies the fraction using the Greatest Common Divisor (GCD).
What should I set the max denominator to?
A higher max denominator gives a more precise fraction. Use 1000 for most cases. For repeating decimals like 0.333..., try 3 or 9 as the max denominator.
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