Fraction to Decimal Calculator
Decimal Result
Step-by-Step Long Division
Visual Representation
How Fraction to Decimal Conversion 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 to Convert a Fraction to a Decimal
Converting a fraction to a decimal is as simple as dividing the numerator (top number) by the denominator (bottom number). You can use long division or a calculator.
Terminating Decimals
A terminating decimal has an end. It doesn't go on forever. This happens when the denominator's only prime factors are 2 and 5 (after simplifying the fraction).
Repeating Decimals
A repeating decimal has a digit or group of digits that repeats forever. This happens when the denominator has prime factors other than 2 or 5.
Common Fractions to Decimals
| Fraction | Decimal | Type |
|---|---|---|
| 1/2 | 0.5 | Terminating |
| 1/3 | 0.333... | Repeating |
| 1/4 | 0.25 | Terminating |
| 1/5 | 0.2 | Terminating |
| 1/6 | 0.166... | Repeating |
| 1/8 | 0.125 | Terminating |
| 1/10 | 0.1 | Terminating |
| 2/3 | 0.666... | Repeating |
| 3/4 | 0.75 | Terminating |
Decimal to Fraction
Convert decimals back to fractions.
Fraction to Percent
Convert fractions to percentages.
Fraction & Decimal Calc
Two-way conversion tool.
Frequently Asked Questions
Common questions about converting fractions to decimals
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01 How do you convert a fraction to a decimal?
You divide the numerator (the top number) by the denominator (the bottom number) using long division or a calculator.
02 What is the long division method?
Long division is a standard procedural method for dividing numbers. For fractions, you divide the top number by the bottom number, adding a decimal point and zeroes to the dividend as needed.
03 How do I know if a fraction will result in a terminating decimal?
A fraction in simplest form will result in a terminating decimal if the only prime factors of its denominator are 2 and 5.
04 When does a fraction result in a repeating decimal?
A fraction in simplest form will result in a repeating decimal if its denominator has any prime factors other than 2 or 5 (like 3, 7, 11).
05 Can the numerator be larger than the denominator?
Yes. This is called an improper fraction, and converting it to a decimal will result in a number greater than or equal to 1.