← Tous les outilsDécimal en Fraction
Convertissez un nombre décimal en une fraction simplifiée.
Converting a decimal back into a fraction is often necessary when you need to express a value exactly, without the rounding errors that can occur with decimals. This process is common in engineering, construction, and mathematics. Our Decimal to Fraction Converter doesn't just give you any fraction; it calculates the most simplified version by finding the greatest common divisor. Whether you have a simple terminating decimal like 0.75 or a more complex one, this tool will help you find the equivalent ratio of two whole numbers.
Comment ça marche
The converter analyzes the number of decimal places in your input. It creates a fraction with a power of 10 as the denominator (e.g., 0.12 becomes 12/100). Then, it uses the Euclidean algorithm to find the Greatest Common Divisor (GCD) and divides both the numerator and denominator by it to provide the simplest possible fraction.
Formule de calcul
Decimal → Part / 10^n → Simplified Fraction
Calculation Examples
1. **Standard**: 0.75 = **3/4**.
2. **Large**: 0.625 = **5/8**.
3. **Whole number part**: 1.5 = **3/2**.
Why use this tool in your daily life?
Precision engineering requires exact ratios. This service eliminates rounding errors and ensures you have the mathematically 'pure' version of your measurement, essential for high-quality craftsmanship.
Astuce
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