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Repeating Decimal to Fraction Calculator
Use parentheses to mark the repeating digits, such as 0.(3), 0.1(6), or 1.2(34). Get the exact fraction and a short subtraction proof.
How do you convert a repeating decimal to a fraction?
Enter the whole part, any non-repeating digits, and the repeating block in parentheses. The calculator shifts the decimal point, subtracts equal repeating tails, then reduces the exact fraction with integer arithmetic.
Frequently asked questions
How do you convert a repeating decimal to a fraction?
Enter the whole part, any non-repeating digits, and the repeating block in parentheses. The calculator shifts the decimal point, subtracts equal repeating tails, then reduces the exact fraction with integer arithmetic.
Is my decimal uploaded?
No. Conversion runs in this browser. Your input is not uploaded or saved by this tool.
What fraction is 0.(3)?
0.(3) means 0.333… with 3 repeating, which is exactly 1/3.
How do I enter 0.1666…?
Write 0.1(6): the 1 is the non-repeating part and the 6 repeats. The exact result is 1/6.
How is a repeating decimal different from a finite decimal?
A repeating decimal has a repeating block, marked here in parentheses. Use the regular fraction calculator for a decimal that ends.