2.003 Repeating as a Fraction

What is 2.003 Repeating as a Fraction?

2.003 Repeating Decimal

= 2 1/333 as a Fraction

Formula How to
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Repeating Decimal as a Fraction

How to write 2.003 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 2.003 Repeating as a Fraction using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    (2.003 x 103) - 2/103 -1
  2. Calculate the numerator and denominator part.
    2001/999
  3. To simplify
    2001/999
    its lowest terms, find GCD (Greatest Common Divisor) for 2001 & 999, which is 3. Here's How to Find GCD of 2001 and 999?
    2001/3/999/3
  4. After simplify or reduce the fraction.
    667/333
    = 2
    1/333
    ;

2.003 Repeating Decimal is 667/333 or 2 1/333 as a Fraction.

Decimal Repeating as a Fraction
1.998 1997/999
1.999 2/1
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
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