0.189 Repeating as a Fraction

What is 0.189 Repeating as a Fraction?


0.189 Repeating Decimal

= 7/37 as a Fraction

Formula How to

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How to write 0.189 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 0.189 Repeating as a Fraction using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    (0.189 x 103) - 0/103 -1
  2. Calculate the numerator and denominator part.
    189/999
  3. To simplify
    189/999
    its lowest terms, find GCD (Greatest Common Divisor) for 189 & 999, which is 27. Here's How to Find GCD of 189 and 999?
    189/27/999/27
  4. After simplify or reduce the fraction.
    7/37

0.189 Repeating Decimal is 7/37 as a Fraction.

Decimal Repeating as a Fraction
0.184 184/999
0.185 5/27
0.186 62/333
0.187 187/999
0.188 188/999
0.189 7/37
0.19 19/99
0.191 191/999
0.192 64/333
0.193 193/999
0.194 194/999