Fraction to Decimal Converter
Convert fractions to decimals and decimals back to fractions instantly. Supports mixed numbers and shows the full calculation. Free, browser-based.
Fractions and Decimals Explained
A fraction represents a part of a whole, written as a numerator over a denominator (e.g. ¾). To convert to a decimal, simply divide the numerator by the denominator. For mixed numbers (e.g. 2¾), add the whole number to the fractional part. Converting back from decimal to fraction requires finding the fraction with the smallest denominator that equals the decimal — a process called simplification using the greatest common divisor (GCD).
Common Fraction–Decimal Reference
| Fraction | Decimal | Percentage |
|---|---|---|
| 1/2 | 0.5 | 50% |
| 1/3 | 0.3333… | 33.33% |
| 1/4 | 0.25 | 25% |
| 3/4 | 0.75 | 75% |
| 1/5 | 0.2 | 20% |
| 1/8 | 0.125 | 12.5% |
| 1/10 | 0.1 | 10% |
Fractions in Cooking, Measurement and Finance
Different fields use fractions in different ways, and the decimal equivalents are worth knowing:
| Context | Common fractions | Decimal equivalents |
|---|---|---|
| Cooking (US cups) | ⅛, ¼, ⅓, ½, ⅔, ¾ | 0.125, 0.25, 0.333, 0.5, 0.667, 0.75 |
| Imperial length (inches) | 1/16, 1/8, 1/4, 3/8, 1/2 | 0.0625, 0.125, 0.25, 0.375, 0.5 |
| Finance (interest rates) | ¼%, ½%, 1¼% | 0.0025, 0.005, 0.0125 |
| Music (note values) | Whole, half, quarter, eighth | 1, 0.5, 0.25, 0.125 |
Repeating Decimals and Precision Limits
Repeating decimals (like 0.333… for ⅓) are shown to 10 decimal places. The decimal-to-fraction converter uses up to 10 decimal places of precision; for repeating decimals like 0.3333 it will return a close approximation such as 3333/10000 rather than the exact ⅓. For exact results with repeating decimals, enter the fraction directly (1/3) rather than converting from the decimal approximation.