0.111111111 Repeating as a Fraction

What is 0.111111111 Repeating as a Fraction?

0.111111111 Repeating Decimal

= 1/9 as a Fraction

Formula How to
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Repeating Decimal as a Fraction

How to write 0.111111111 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 0.111111111 Repeating as a Fraction using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    (0.111111111 x 109) - 0/109 -1
  2. Calculate the numerator and denominator part.
    111111111/999999999
  3. To simplify
    111111111/999999999
    its lowest terms, find GCD (Greatest Common Divisor) for 111111111 & 999999999, which is 111111111.
    111111111/111111111/999999999/111111111
  4. After simplify or reduce the fraction.
    1/9

0.111111111 Repeating Decimal is 1/9 as a Fraction.

Decimal Repeating as a Fraction
0.111111106 111111106/999999999
0.111111107 111111107/999999999
0.111111108 37037036/333333333
0.111111109 111111109/999999999
0.11111111 1/9
0.111111111 1/9
0.111111112 111111112/999999999
0.111111113 111111113/999999999
0.111111114 37037038/333333333
0.111111115 111111115/999999999
0.111111116 111111116/999999999
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