Decimal to Fraction Converter
Convert decimal numbers to fractions in simplified and mixed number forms.
Enter Decimal
Quick Examples:
Result
Fraction
3/4
Simplified form
Decimal
0.750000
Verification
3 ÷ 4 = 0.750000
Percentage
75.00%
How to Convert Decimal to Fraction
Method 1: Count Decimal Places
- Count decimal places (e.g., 0.75 has 2 decimal places)
- Write as fraction over power of 10 (0.75 = 75/100)
- Simplify by finding GCD (75/100 = 3/4)
Method 2: Repeating Decimals
- 0.333... = 1/3 (one digit repeating → denominator 9)
- 0.142857... = 1/7 (six digits repeating → denominator 999999)
Common Conversions
- 0.5 = 1/2
- 0.25 = 1/4
- 0.75 = 3/4
- 0.333... = 1/3
- 0.666... = 2/3
- 0.125 = 1/8
Mixed Numbers
Numbers greater than 1 can be expressed as mixed numbers (whole number + fraction):
- 2.5 = 5/2 = 2 1/2
- 3.75 = 15/4 = 3 3/4