Fraction and Decimal Calculator
Fraction Result
Step-by-Step
Decimal Result
Step-by-Step Long Division
Visual Representation
How Conversions Work
Decimal to Fraction
Count the decimal places, put the number over 10 raised to that power (10, 100, 1000), and simplify.
- 0.5 = 5/10 = 1/2
- 0.75 = 75/100 = 3/4
- 0.125 = 125/1000 = 1/8
Fraction to Decimal
Divide the numerator (top) by the denominator (bottom). This will result in either a terminating or repeating decimal.
- 1/2 = 1 ÷ 2 = 0.5
- 3/4 = 3 ÷ 4 = 0.75
- 1/3 = 1 ÷ 3 = 0.333...
Quick Reference
| Fraction | Decimal | Percent |
|---|---|---|
| 1/10 | 0.1 | 10% |
| 1/8 | 0.125 | 12.5% |
| 1/5 | 0.2 | 20% |
| 1/4 | 0.25 | 25% |
| 1/3 | 0.333... | 33.3% |
| 1/2 | 0.5 | 50% |
| 2/3 | 0.666... | 66.6% |
| 3/4 | 0.75 | 75% |
Standard Dec2Frac
Detailed decimal to fraction conversions.
Standard Frac2Dec
Detailed fraction to decimal conversions.
Fraction to Percent
Convert fractions directly to percentages.
Frequently Asked Questions
Common questions about dual-mode conversion
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01 When should I use which mode?
Use the toggle switch at the top of the calculator to switch between Decimal-to-Fraction and Fraction-to-Decimal conversion modes anytime.
02 What is bidirectional conversion?
Bidirectional conversion means you can convert back and forth between two formats. Our tool supports both directions seamlessly in one place.
03 Does the decimal to fraction mode simplify the fraction?
Yes, it automatically simplifies the resulting fraction using the Greatest Common Divisor (GCD) method to give you the most reduced form.
04 Does the fraction to decimal mode detect repeating decimals?
Yes, it uses an advanced long division algorithm to detect repeating patterns and marks them for you.
05 Are both conversions exactly reversible?
Usually, yes. For example, 1/4 becomes 0.25, and 0.25 becomes 1/4. However, repeating decimals (like 1/3 = 0.333...) might require specialized tools to convert back perfectly if not entered correctly.