0.11111111 Repeating as a Fraction

What is 0.11111111 Repeating as a Fraction?

0.11111111 Repeating Decimal

= 1/9 as a Fraction

Formula How to
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Repeating Decimal as a Fraction

How to write 0.11111111 Repeating as a Fraction? Convert a repeating decimal number as a simplified fraction or a repeating decimal number as a mixed fraction. Just enter the Decimal value into the input box and then press calculate button, the system will automatically calculate the Fraction value.

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

(D × 10R) - N/10R -1

Where,

  • 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 0.11111111 Repeating as a Fraction using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    (0.11111111 x 108) - 0/108 -1
  2. Calculate the numerator and denominator part.
    11111111/99999999
  3. To simplify
    11111111/99999999
    its lowest terms, find GCD (Greatest Common Divisor) for 11111111 & 99999999, which is 11111111.
    11111111/11111111/99999999/11111111
  4. After simplify or reduce the fraction.
    1/9

0.11111111 Repeating Decimal is 1/9 as a Fraction.

Decimal Repeating as a Fraction
0.11111106 3703702/33333333
0.11111107 11111107/99999999
0.11111108 11111108/99999999
0.11111109 11111109/99999999
0.1111111 370370.33333333/3333333
0.11111111 11111111/99999999
0.11111112 1.00000009/9
0.11111113 1234568.1111111/11111111
0.11111114 11111114/99999999
0.11111115 11111115/99999999
0.11111116 3703705.3333333/33333333
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