0.6666 Repeating as a Fraction

What is 0.6666 Repeating as a Fraction?


0.6666 Repeating Decimal

= 2/3 as a Fraction

Formula How to

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How to write 0.6666 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 0.6666 Repeating as a Fraction using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    (0.6666 x 104) - 0/104 -1
  2. Calculate the numerator and denominator part.
    6666/9999
  3. To simplify
    6666/9999
    its lowest terms, find GCD (Greatest Common Divisor) for 6666 & 9999, which is 3333. Here's How to Find GCD of 6666 and 9999?
    6666/3333/9999/3333
  4. After simplify or reduce the fraction.
    2/3

Decimal Repeating as a Fraction
0.6661 6661/9999
0.6662 6662/9999
0.6663 2221/3333
0.6664 6664/9999
0.6665 6665/9999
0.6666 2/3
0.6667 6667/9999
0.6668 6668/9999
0.6669 6669/9999
0.667 2.003003003003/3
0.6671 6671/9999

0.6666 Repeating Decimal is 2/3 as a Fraction.