Convertisseur Décimal en Fraction

Convertissez les nombres décimaux en fractions.

Approximate Numerator

3

Approximate Denominator8
Verification (decimal)0.37500000

Formule

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

Exemple Résolu

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

Questions Fréquentes

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.

Apprendre

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

Calculatrices Associées