2.001 Repeating as a Fraction

What is 2.001 Repeating as a Fraction?


2.001 Repeating Decimal

= 2 1/999 as a Fraction

Formula How to

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How to write 2.001 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 2.001 Repeating as a Fraction using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    (2.001 x 103) - 2/103 -1
  2. Calculate the numerator and denominator part.
    1999/999
  3. To simplify
    1999/999
    its lowest terms, find GCD (Greatest Common Divisor) for 1999 & 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 1999 and 999?
    1999/1/999/1
  4. After simplify or reduce the fraction.
    1999/999
    = 2
    1/999
    ;

2.001 Repeating Decimal is 1999/999 or 2 1/999 as a Fraction.

Decimal Repeating as a Fraction
1.996 665/333
1.997 1996/999
1.998 1997/999
1.999 1998/999
2.001 2.001001001001/1
2.002 2000/999
2.003 2001/999
2.004 667.33333333333/333
2.005 2003/999
2.006 2004/999