Fraction to Decimal Converter
Convert fractions to decimals with repeating digits marked, decimals to fractions, simplify fractions and make mixed numbers. Shows GCD steps and exact results.
How to use Fraction to Decimal Converter
- 1Type a fraction, mixed number or decimal such as 7/12, 1 3/4 or 0.1(6).
- 2Choose Fraction → Decimal, Decimal → Fraction, Simplify or Mixed number.
- 3Copy the headline result or read the decimal, percent, fraction and GCD steps below it.
What makes it better
- Repeating decimals shown with the repeating digits in brackets, such as 0.58(3), plus a plain-language explanation
- Accepts 3/8, 1 3/4, -2/3, 0.125, 0.(3), 0.1(6), 0.333… and 37.5%
- Shows the simplified fraction, the mixed number, the percent and the GCD steps together
- Large numerators and denominators stay exact because the page uses BigInt
- Modes for Fraction → Decimal, Decimal → Fraction, Simplify and Mixed number on every page
About Fraction to Decimal Converter
This converter turns a fraction such as 3/8, a mixed number such as 1 3/4 or a decimal such as 0.125 into every other form: decimal with the repeating part in brackets, percentage, simplest fraction and mixed number. It uses exact BigInt arithmetic and writes out Euclid's steps for the greatest common divisor, and it also reads repeating decimals like 0.(3) or 0.333… back into fractions.
Common uses
- Convert 5/16 of an inch to a decimal for a drawing or a drill size.
- Turn a repeating decimal from a calculator, like 0.142857…, back into 1/7.
- Simplify a ratio such as 18/24 and show your working for a maths class.
- Rewrite an improper fraction like 17/5 as the mixed number 3 2/5 for a recipe or a tape measure.
Example
Input
7/12
Result
0.58(3)
Good to know
- Repeating decimals are shown up to a digit limit you can raise (20, 60, 200 or 1000). If the repeating block is longer than the limit, the page cuts the decimal with an ellipsis and says so.
- For an input like 0.333… the page infers the repeating block from the digits you typed, and it needs to see at least two repeats. Use brackets, as in 0.1(6), when you want to be explicit.
- A decimal typed as 0.125 is read as exactly 125/1000, not as a floating-point number, and 0.(9) is treated as exactly 1.
Fraction to Decimal Converter FAQ
How do I convert a fraction to a decimal?
Divide the numerator by the denominator. For 3/8 that is 3 ÷ 8 = 0.375. The page does this long division exactly and also shows the percent (37.5%) and the simplest fraction.
What do the brackets in 0.58(3) mean?
The digits in brackets repeat forever, so 0.58(3) is 0.58333… and 1/3 is 0.(3). This is the same idea as writing a bar over the repeating digits, which is hard to type in plain text.
How do I turn a repeating decimal into a fraction?
Type it as 0.(3), 0.1(6) or 0.333… in Decimal → Fraction mode. The page builds the fraction from the non-repeating and repeating digits and simplifies it, so 0.(3) becomes 1/3 and 0.1(6) becomes 1/6.
How do I simplify a fraction?
Divide the top and bottom by their greatest common divisor. For 18/24 the GCD is 6, so the fraction simplifies to 3/4. The Simplify mode lists the Euclid's algorithm steps that find the GCD.
What is a mixed number, and how is it made from an improper fraction?
A mixed number is a whole number plus a proper fraction. Divide the numerator by the denominator: the quotient is the whole part and the remainder goes over the denominator, so 7/4 becomes 1 3/4.