2.006 Repeating as a Fraction

What is 2.006 Repeating as a Fraction?

2.006 Repeating Decimal

= 2 5.9999999999998/999 as a Fraction

Formula How to
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Repeating Decimal as a Fraction

How to write 2.006 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 2.006 Repeating as a Fraction using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    (2.006 x 103) - 2/103 -1
  2. Calculate the numerator and denominator part.
    2004/999
  3. To simplify
    2004/999
    its lowest terms, find GCD (Greatest Common Divisor) for 2004 & 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 2004 and 999?
    2004/1/999/1
  4. After simplify or reduce the fraction.
    2004/999
    = 2
    5.9999999999998/999
    ;

2.006 Repeating Decimal is 2004/999 or 2 5.9999999999998/999 as a Fraction.

Decimal Repeating as a Fraction
2.001 1999/999
2.002 2000/999
2.003 2001/999
2.004 667.33333333333/333
2.005 2003/999
2.006 2004/999
2.007 668.33333333333/333
2.008 2006/999
2.009 2007/999
2.01 2.010101010101/1
2.011 2009/999
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