.666 Repeating as a Fraction

What is .666 Repeating as a Fraction?

0.666 Repeating Decimal

= 2/3 as a Fraction

Formula How to
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Repeating Decimal as a Fraction

How to write 0.666 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 0.666 Repeating as a Fraction using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    (0.666 x 103) - 0/103 -1
  2. Calculate the numerator and denominator part.
    666/999
  3. To simplify
    666/999
    its lowest terms, find GCD (Greatest Common Divisor) for 666 & 999, which is 333. Here's How to Find GCD of 666 and 999?
    666/333/999/333
  4. After simplify or reduce the fraction.
    2/3

Decimal Repeating as a Fraction
0.661 661/999
0.662 662/999
0.663 221/333
0.664 664/999
0.665 665/999
0.666 2/3
0.667 667/999
0.668 668/999
0.669 223/333
0.67 67/99
0.671 671/999

.666 Repeating Decimal is 2/3 as a Fraction.
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