Fraction to Decimal Converter
To convert a fraction to decimal, divide the numerator by the denominator. Example: 3/4 = 0.75, 1/3 = 0.333... (repeating). Fractions with denominators having only factors of 2 and 5 create terminating decimals.
Convert fractions to decimals and percentages. Supports simple fractions and mixed numbers. Shows if decimal is repeating or terminating.
Enter Fraction
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Common Fractions Reference
| Fraction | Decimal | Percentage |
|---|---|---|
| 1/2 | 0.5 | 50% |
| 1/3 | 0.333... | 33.33% |
| 1/4 | 0.25 | 25% |
| 1/5 | 0.2 | 20% |
| 1/8 | 0.125 | 12.5% |
| 3/4 | 0.75 | 75% |
How to Use
- Enter your value in the input field
- Click the Calculate/Convert button
- Copy the result to your clipboard
Frequently Asked Questions
- How do I convert a fraction to a decimal?
- Divide the numerator by the denominator. For 3/4: 3 ÷ 4 = 0.75. For 5/8: 5 ÷ 8 = 0.625. Some fractions result in repeating decimals: 1/3 = 0.333..., 1/6 = 0.1666..., 1/7 = 0.142857142857...
- What fractions create terminating vs repeating decimals?
- A fraction in lowest terms creates a terminating decimal only if the denominator has no prime factors other than 2 and 5. Examples: 1/4 (4=2²) = 0.25, 1/8 (8=2³) = 0.125, 1/5 = 0.2. Fractions like 1/3, 1/6, 1/7 create repeating decimals.
- How do I convert mixed numbers to decimals?
- Convert the fraction part to decimal and add to the whole number. For 3 1/4: convert 1/4 = 0.25, add to 3 = 3.25. For 5 2/3: convert 2/3 = 0.666..., add to 5 = 5.666...
- What are common fraction to decimal conversions?
- Common conversions: 1/2 = 0.5, 1/3 = 0.333..., 1/4 = 0.25, 1/5 = 0.2, 1/6 = 0.1666..., 1/8 = 0.125, 1/10 = 0.1, 2/3 = 0.666..., 3/4 = 0.75, 3/8 = 0.375, 5/8 = 0.625, 7/8 = 0.875.
- How do I round repeating decimals?
- Round to the desired decimal places: 1/3 = 0.333... ≈ 0.33 (2 places) or 0.333 (3 places). For currency, round to 2 decimal places. For scientific work, consider significant figures. Always note if you have rounded a repeating decimal.