2.585 Repeating as a Fraction

What is 2.585 Repeating as a Fraction?

2.585 Repeating Decimal

= 2 65/111 as a Fraction

Formula How to
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Repeating Decimal as a Fraction

How to write 2.585 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 2.585 Repeating as a Fraction using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    (2.585 x 103) - 2/103 -1
  2. Calculate the numerator and denominator part.
    2583/999
  3. To simplify
    2583/999
    its lowest terms, find GCD (Greatest Common Divisor) for 2583 & 999, which is 9. Here's How to Find GCD of 2583 and 999?
    2583/9/999/9
  4. After simplify or reduce the fraction.
    287/111
    = 2
    65/111
    ;

Decimal Repeating as a Fraction
2.58 256/99
2.581 2579/999
2.582 860/333
2.583 860.33333333333/333
2.584 2582/999
2.585 2583/999
2.586 287.11111111111/111
2.587 2585/999
2.588 2586/999
2.589 862.33333333333/333
2.59 257/99

2.585 Repeating Decimal is 287/111 or 2 65/111 as a Fraction.
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