Decimal to Fraction Calculator
Convert a decimal number to a fraction approximation. Enter any decimal value to see its fractional representation.
Numérateur
3
Formule
## How to Convert a Decimal to a Fraction ### Method 1. Write the decimal as a fraction over a power of 10 (e.g., 0.375 = 375/1000) 2. Simplify by dividing both numerator and denominator by their GCD 3. For example: 375/1000 → GCD(375, 1000) = 125 → 375/125 = 3, 1000/125 = 8 → **3/8** This calculator uses a denominator of 10,000 for precision and then simplifies.
Exemple Résolu
Convert 0.375 to a fraction.
- 010.375 × 10000 = 3750
- 02Fraction = 3750/10000
- 03GCD(3750, 10000) = 1250
- 04Simplified: 3750/1250 = 3, 10000/1250 = 8
- 05Result: 3/8
Questions Fréquentes
How do you convert a decimal to a fraction?
Multiply the decimal by a power of 10 to remove the decimal point, then simplify the resulting fraction by dividing numerator and denominator by their greatest common factor.
Can every decimal be expressed as a fraction?
Every terminating decimal and every repeating decimal can be expressed as a fraction. However, irrational numbers like pi or sqrt(2) cannot be expressed as exact fractions.
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