Μετατροπέας Decimal to Fraction
Χρησιμοποιήστε Μετατροπέας Decimal to Fraction για γρήγορα και ακριβή αποτελέσματα.
Πώς να χρησιμοποιήσετε αυτήν την αριθμομηχανή
- Εισαγάγετε Decimal Number
- Κάντε κλικ στο κουμπί Υπολογισμός
- Διαβάστε το αποτέλεσμα που εμφανίζεται κάτω από την αριθμομηχανή
How to Convert a Decimal to a Fraction
To convert a decimal to a fraction:
- Count the decimal places (e.g., 0.75 has 2 decimal places)
- Write the decimal as a fraction over 10^n (e.g., 75/100)
- Simplify using the Greatest Common Divisor (GCD) → 75/100 = 3/4
Our calculator does all three steps automatically and shows the result in lowest terms.
Common Decimal to Fraction Equivalents
| Decimal | Fraction |
|---|---|
| 0.1 | 1/10 |
| 0.125 | 1/8 |
| 0.25 | 1/4 |
| 0.333... | 1/3 |
| 0.5 | 1/2 |
| 0.666... | 2/3 |
| 0.75 | 3/4 |
| 0.875 | 7/8 |
What is the GCD?
The Greatest Common Divisor (GCD) is the largest number that divides both the numerator and denominator without remainder. Dividing both by the GCD simplifies the fraction to its lowest terms.
For example, GCD(75, 100) = 25. So 75/100 ÷ 25/25 = 3/4. The Euclidean algorithm is the standard efficient method: GCD(a, b) = GCD(b, a mod b) until b = 0.
Frequently Asked Questions
How do I convert a repeating decimal to a fraction?
For a repeating decimal like 0.333..., set x = 0.333..., then 10x = 3.333..., subtract: 9x = 3, so x = 3/9 = 1/3. For 0.142857142857... (repeating 6 digits), the process requires multiplying by 10^6.
What is the fraction for 0.625?
0.625 = 625/1000. GCD(625, 1000) = 125. So 625/1000 ÷ 125/125 = 5/8. Therefore 0.625 = 5/8.
Can all decimals be expressed as fractions?
Terminating decimals (like 0.75) and repeating decimals (like 0.333...) can always be written as fractions. Non-repeating, non-terminating decimals (like π = 3.14159...) are irrational and cannot be expressed as exact fractions.
Τελευταία ενημέρωση: March 2026