0.585 Repeating as a Fraction

What is 0.585 Repeating as a Fraction?


0.585 Repeating Decimal

= 65/111 as a Fraction

Formula How to

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How to write 0.585 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 0.585 Repeating as a Fraction using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    (0.585 x 103) - 0/103 -1
  2. Calculate the numerator and denominator part.
    585/999
  3. To simplify
    585/999
    its lowest terms, find GCD (Greatest Common Divisor) for 585 & 999, which is 9. Here's How to Find GCD of 585 and 999?
    585/9/999/9
  4. After simplify or reduce the fraction.
    65/111

0.585 Repeating Decimal is 65/111 as a Fraction.

Decimal Repeating as a Fraction
0.58 19.333333333333/33
0.581 581/999
0.582 194/333
0.583 583/999
0.584 584/999
0.585 65/111
0.586 586/999
0.587 587/999
0.588 196/333
0.589 589/999
0.59 59/99