Fraction to Decimal Calculator
Decimal Result
Step-by-Step Long Division
Decimal to Fraction Calculator →
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?
Divide the numerator (top number) by the denominator (bottom number). For example, 3/8 = 3 ÷ 8 = 0.375. You can perform this division by hand using long division, or use this calculator for instant results with step-by-step work shown.
02 What is the long division method?
Long division is a step-by-step procedure for dividing numbers. Place the numerator inside the division bracket and the denominator outside. Divide, noting the quotient digit by digit. When the numerator is smaller than the denominator, add a decimal point and append zeros to continue dividing. The calculator shows this process for every conversion.
03 How do I know if a fraction will result in a terminating decimal?
A fraction in simplest form produces a terminating decimal if and only if the denominator’s prime factorization contains no primes other than 2 and 5. For example, 1/8 (8 = 2³) terminates at 0.125, and 1/20 (20 = 2² × 5) terminates at 0.05. But 1/3 (3 is not 2 or 5) repeats as 0.333…
04 When does a fraction result in a repeating decimal?
A fraction in simplest form produces a repeating decimal when its denominator has at least one prime factor other than 2 or 5. Examples: 1/3 = 0.333… (factor 3), 1/7 = 0.142857… (factor 7), 1/6 = 0.1666… (factor 3 alongside factor 2, giving a non-repeating prefix followed by a repeating block).
05 Can the numerator be larger than the denominator?
Yes — this is called an improper fraction. Converting it to a decimal gives a value ≥ 1. For example, 7/4 = 1.75 and 10/3 = 3.333… The calculator handles improper fractions and shows the result with the same step-by-step long division.