0.111 Repeating as a Fraction

What is 0.111 Repeating as a Fraction?


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How to write 0.111 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 0.111 Repeating as a Fraction using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    (0.111 x 103) - 0/103 -1
  2. Calculate the numerator and denominator part.
    111/999
  3. To simplify
    111/999
    its lowest terms, find GCD (Greatest Common Divisor) for 111 & 999, which is 111. Here's How to Find GCD of 111 and 999?
    111/111/999/111
  4. After simplify or reduce the fraction.
    1/9

0.111 Repeating Decimal is 1/9 as a Fraction.

Decimal Repeating as a Fraction
0.106 106/999
0.107 107/999
0.108 4/37
0.109 109/999
0.11 1/9
0.111 1/9
0.112 112/999
0.113 113/999
0.114 38/333
0.115 115/999
0.116 116/999