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Repeating Decimal to Fraction Calculator

Repeating Decimal to Fraction Calculator

Convert repeating decimal numbers into their simplest fraction form instantly.

How It Works

A repeating decimal is a decimal number where one or more digits repeat forever. This calculator converts repeating decimals into fractions using mathematical conversion methods.

Example:

0.333333...
Let x = 0.333333
10x = 3.333333
Subtract:
9x = 3
x = 3/9 = 1/3

Features

  • Convert repeating decimals into fractions
  • Automatically simplify fractions
  • Fast and accurate calculations
  • Easy online calculator
  • Works on mobile devices

Common Examples

0.333333... 1/3
0.666666... 2/3
0.777777... 7/9
0.121212... 4/33

Frequently Asked Questions

What is a repeating decimal?

A repeating decimal is a number where the same digits continue repeating infinitely after the decimal point.

How do you convert repeating decimals into fractions?

The repeating digits are converted using algebraic equations and then simplified into a fraction.

Can this calculator simplify repeating decimal fractions?

Yes, it automatically reduces the answer to the simplest fraction form.

Is this calculator free?

Yes, this online repeating decimal calculator is completely free.