Fraction to Decimal Calculator
Decimal Result
Step-by-Step Long Division
Visual Representation
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 fraction to decimal conversion
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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.