2.012 Repeating as a Fraction

What is 2.012 Repeating as a Fraction?

2.012 Repeating Decimal

= 2 4/333 as a Fraction

Formula How to
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Repeating Decimal as a Fraction

How to write 2.012 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 2.012 Repeating as a Fraction using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    (2.012 x 103) - 2/103 -1
  2. Calculate the numerator and denominator part.
    2010/999
  3. To simplify
    2010/999
    its lowest terms, find GCD (Greatest Common Divisor) for 2010 & 999, which is 3. Here's How to Find GCD of 2010 and 999?
    2010/3/999/3
  4. After simplify or reduce the fraction.
    670/333
    = 2
    4/333
    ;

2.012 Repeating Decimal is 670/333 or 2 4/333 as a Fraction.

Decimal Repeating as a Fraction
2.007 2005/999
2.008 2006/999
2.009 223/111
2.01 2.010101010101/1
2.011 2009/999
2.012 2010/999
2.013 670.33333333333/333
2.014 2012/999
2.015 2013/999
2.016 671.33333333333/333
2.017 2015/999
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