0.1 Repeating as a Fraction

What is 0.1 Repeating as a Fraction?

0.1 Repeating Decimal

= 1/9 as a Fraction

Formula How to

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How to write 0.1 Repeating as a Fraction? To convert a repeating decimal to a fraction, you set up an equation where the repeating decimal equals a variable, multiply to shift the repeating part, subtract to eliminate the repeating part, and solve for the variable. This method works for any repeating decimal.

To conversion Repeating Decimal number to Fraction use this fromula, which is given below-

(D × 10R) - N/10R -1


  • D = The whole decimal number;
  • R = Count the number of repeating part of decimal number;
  • N = Value of non-repeating part of decimal number;

For calculation, here's how to convert 0.1 Repeating as a Fraction using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    (0.1 x 101) - 0/101 -1
  2. Calculate the numerator and denominator part.
  3. To simplify
    its lowest terms, find GCD (Greatest Common Divisor) for 1 & 9, which is 1. There is no simplest form of the above value for GCD to be 1. So you can skip step 3 and step 4 calculation. Here's How to Find GCD of 1 and 9?
  4. After simplify or reduce the fraction.

Decimal Repeating as a Fraction
0.1 0.11111111111111/1
0.2 2/9
0.3 1/3
0.4 4/9
0.5 5/9
0.6 2/3

0.1 Repeating Decimal is 1/9 as a Fraction.