Convert any fraction to a decimal, or any decimal to a fully simplified fraction, instantly.
Converting Between Fractions and Decimals
A fraction represents a part of a whole using a numerator (top number) and denominator (bottom number). Converting a fraction to a decimal is simply division: divide the numerator by the denominator. Converting a decimal back to a fraction uses place value and then simplifies using the greatest common divisor.
Fraction → Decimal: Decimal = Numerator ÷ Denominator
Decimal → Fraction: Write the decimal over its place-value power of 10, then simplify using the GCD
Worked Example
To convert 0.75 to a fraction: write it as 75/100 (since it has two decimal places), then divide both numerator and denominator by their greatest common divisor, 25, giving the fully simplified fraction 3/4.
Common Fraction-Decimal Equivalents
| Fraction | Decimal | Percentage |
|---|
| 1/2 | 0.5 | 50% |
| 1/3 | 0.333... | 33.3% |
| 1/4 | 0.25 | 25% |
| 3/4 | 0.75 | 75% |
| 1/8 | 0.125 | 12.5% |
| 1/5 | 0.2 | 20% |
❓ Frequently Asked Questions
How do I convert a repeating decimal to a fraction? ▼
Repeating decimals (like 0.333...) require a slightly different algebraic technique than terminating decimals. This calculator handles terminating decimals precisely; for a repeating decimal, entering enough repeated digits will give a very close simplified approximation.
Why does my fraction not simplify? ▼
If the numerator and denominator share no common factors other than 1 (they are 'coprime'), the fraction is already in its simplest form — for example, 5/8 cannot be reduced any further.
What does a negative decimal or fraction look like? ▼
The calculator supports negative values in both directions — enter a negative numerator (or a decimal with a minus sign) and the sign is preserved through the conversion.
How is the decimal-to-fraction conversion done for numbers like 0.1? ▼
0.1 is written as 1/10 based on its single decimal place, and since 1 and 10 share no common factors besides 1, it's already fully simplified.
Can I convert a mixed number, like 1 3/4? ▼
Enter mixed numbers as an improper fraction first — 1 3/4 becomes 7/4 (multiply the whole number by the denominator and add the numerator) before using the Fraction → Decimal mode.
🏆 About This Tool — Accuracy & Trust
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📐 Accuracy Note: This tool uses standard, widely published formulas and guidelines. Results are estimates for informational purposes; for financial, medical, or engineering decisions, consult a licensed professional.
📅 Last Updated: September 2026.