2.6667 Repeating as a Fraction

What is 2.6667 Repeating as a Fraction?

2.6667 Repeating Decimal

= 2 6667/9999 as a Fraction

Formula How to
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Repeating Decimal as a Fraction

How to write 2.6667 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 2.6667 Repeating as a Fraction using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    (2.6667 x 104) - 2/104 -1
  2. Calculate the numerator and denominator part.
    26665/9999
  3. To simplify
    26665/9999
    its lowest terms, find GCD (Greatest Common Divisor) for 26665 & 9999, 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 26665 and 9999?
    26665/1/9999/1
  4. After simplify or reduce the fraction.
    26665/9999
    = 2
    6667/9999
    ;

Decimal Repeating as a Fraction
2.6662 26660/9999
2.6663 8887/3333
2.6664 26662/9999
2.6665 26663/9999
2.6666 8/3
2.6667 26665/9999
2.6668 26666/9999
2.6669 2963/1111
2.667 2665/999
2.6671 26669/9999

2.6667 Repeating Decimal is 26665/9999 or 2 6667/9999 as a Fraction.
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