Decimal to Fraction Calculator
Convert any terminating or repeating decimal into simplified improper fractions, mixed numbers, and step-by-step arithmetic proofs.
Euclidean GCD Step-by-Step Simplification
Common Decimal to Fraction Reference Chart
Standard inch, imperial, and decimal fractional equivalencies.
| Decimal | Fraction | Name | Action |
|---|---|---|---|
| 0.1 | 1/10 | Tenth | |
| 0.125 | 1/8 | Eighth | |
| 0.166667 | 1/6 | Sixth (repeating) | |
| 0.2 | 1/5 | Fifth | |
| 0.25 | 1/4 | Quarter | |
| 0.333333 | 1/3 | Third (repeating) | |
| 0.375 | 3/8 | Three Eighths | |
| 0.5 | 1/2 | Half | |
| 0.625 | 5/8 | Five Eighths | |
| 0.666667 | 2/3 | Two Thirds | |
| 0.75 | 3/4 | Three Quarters | |
| 0.875 | 7/8 | Seven Eighths |
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Frequently Asked Questions
Everything you need to know about decimal conversions, accuracy, and formulas.
01How do you convert a decimal to a fraction?▼
To convert a decimal to a fraction: 1) Write the decimal divided by 1. 2) Multiply both top and bottom by 10 for every number after the decimal point (e.g. for 0.75 multiply by 100 to get 75/100). 3) Simplify the fraction by finding the Greatest Common Divisor (GCD) of both numbers (for 75 and 100, GCD is 25, yielding 3/4).
02How does decimalto handle repeating decimals like 0.333333...?▼
Our engine detects repeating patterns (such as 0.333... = 1/3, 0.666... = 2/3, 0.166... = 1/6) and solves them using algebraic substitution rather than basic rounding, ensuring exact mathematical fractional equivalence.
03What is the difference between an improper fraction and a mixed number?▼
An improper fraction has a numerator greater than or equal to the denominator (e.g. 15/4). A mixed number expresses the integer whole part separately from the fractional remainder (e.g. 3 ¾). Our calculator provides both formats instantly.