Fraction and Decimal Calculator
Fraction Result
Step-by-Step
Decimal Result
Step-by-Step Long Division
Visual Representation
How the Dual-Mode Calculator Works
Live Conversion Demo
Enter Your Decimal
Type any decimal number into the calculator. Supports standard decimals, repeating patterns, and measurement values.
Instant Conversion
Our algorithm converts your decimal to a fraction instantly, finding the greatest common divisor to simplify it to the lowest terms.
Get Results with Steps
See your fraction in simplified form, as a mixed number, and with a complete step-by-step breakdown of the conversion process.
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 'Decimal to Fraction' when you have a decimal number like 0.25 and want to find its fraction equivalent. Use 'Fraction to Decimal' when you have a fraction like 1/4 and need its decimal form.
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.