Conversor de Decimal para Fração Grátis

Converta números decimais para frações de forma rápida. Resultado simplificado automaticamente.

Approximate Numerator

3

Approximate Denominator8
Verification (decimal)0.37500000

Formula

## 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

Exemplo Resolvido

Convert 0.375 to a fraction.

  1. 010.375 × 1000 = 375 (numerator before simplification)
  2. 02GCD(375, 1000) = 125
  3. 03Numerator = 375 / 125 = 3
  4. 04Denominator = 1000 / 125 = 8
  5. 05Result: 3/8

Perguntas Frequentes

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.

Aprender

Metric vs Imperial: A Complete Guide to the Two Measurement Systems

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