0.109 Repeating as a Fraction

What is 0.109 Repeating as a Fraction?


0.109 Repeating Decimal

= 109/999 as a Fraction

Formula How to

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How to write 0.109 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 0.109 Repeating as a Fraction using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    (0.109 x 103) - 0/103 -1
  2. Calculate the numerator and denominator part.
    109/999
  3. To simplify
    109/999
    its lowest terms, find GCD (Greatest Common Divisor) for 109 & 999, 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 109 and 999?
    109/1/999/1
  4. After simplify or reduce the fraction.
    109/999

0.109 Repeating Decimal is 109/999 as a Fraction.

Decimal Repeating as a Fraction
0.104 104/999
0.105 35/333
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