Type the numerator and denominator exactly as integers. Add a whole number for a mixed fraction like 2 1/8. The converter reduces the fraction first, then tracks each division remainder so it can tell whether the decimal terminates or repeats. Everything runs locally in your browser.
Fraction to Decimal Converter
Runs entirely in your browser - no upload, no sign-up.
Fraction to decimal
Enter a fraction
Use numerator and denominator, or add a whole number for a mixed fraction.
Digits in parentheses repeat forever.
Exact BigInt long division runs in your browser - nothing is uploaded.
What is a fraction to decimal converter?
A fraction to decimal converter changes a fraction like 7/12 into its decimal form, including repeating digits. Enter the numerator and denominator, or a mixed number, and the tool uses exact long division to show results like 0.58(3) without floating point rounding.
How to use
- 1Enter the fraction. Type the numerator and denominator. Use the whole-number field only for a mixed number.
- 2Read the decimal. The decimal updates live. Parentheses mark the digits that repeat forever.
- 3Check the exact fraction. The reduced fraction and mixed-number form stay visible next to the decimal.
- 4Copy the result. Copy the fraction, decimal, and repeat length for notes, worksheets, or calculations.
Who it's for
- Students checking homework steps for fractions such as 1/6, 5/8, or 7/12.
- Teachers and tutors showing why a repeated remainder creates a repeating decimal.
- Woodworkers and makers converting inch fractions to decimals without losing exactness.
- Anyone comparing numbers who needs a copyable decimal and the original reduced fraction together.
FAQ
How do you convert a fraction to a decimal?
Divide the numerator by the denominator. Each step multiplies the remainder by 10 to get the next digit. If the remainder becomes zero, the decimal terminates. If a remainder repeats, the digits from its first appearance repeat forever.
What do parentheses mean in the result?
Parentheses mark the repeating part of the decimal. For example, 1/6 becomes 0.1(6), meaning 0.1666... with the 6 continuing forever. This is more exact than rounding the answer to a fixed number of places.
Can this convert mixed numbers?
Yes. Put the whole number in the first box and the fraction beside it, such as whole 2, numerator 1, denominator 8. The tool converts that to 17/8 internally and shows the decimal 2.125.
Does it use floating point math?
No. The conversion uses BigInt integer arithmetic and remainder tracking, not JavaScript floating point division. That keeps large numerators and denominators exact and avoids answers like 0.30000000000000004.
What happens if the denominator is zero?
A denominator of zero is undefined, so the tool shows a clear error instead of a decimal. Change the denominator to any non-zero whole number and the result updates immediately.
Is this fraction to decimal converter free and private?
Yes. It is free, works without an account, and runs entirely in your browser. The numbers you type are not uploaded to a server.