0.584 Repeating as a Fraction

What is 0.584 Repeating as a Fraction?

0.584 Repeating Decimal

= 584/999 as a Fraction

Formula How to
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Repeating Decimal as a Fraction

How to write 0.584 Repeating as a Fraction? To convert a repeating decimal to a fraction, you set up an equation where the repeating decimal equals a variable, multiply to shift the repeating part, subtract to eliminate the repeating part, and solve for the variable. This method works for any repeating decimal.

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 0.584 Repeating as a Fraction using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    (0.584 x 103) - 0/103 -1
  2. Calculate the numerator and denominator part.
    584/999
  3. To simplify
    584/999
    its lowest terms, find GCD (Greatest Common Divisor) for 584 & 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 584 and 999?
    584/1/999/1
  4. After simplify or reduce the fraction.
    584/999

Decimal Repeating as a Fraction
0.579 193/333
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

0.584 Repeating Decimal is 584/999 as a Fraction.
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