.666 Repeating as a Fraction

What is .666 Repeating as a Fraction?


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How to write .666 Repeating as a Fraction? Convert a repeating decimal number as a simplified fraction or 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-

(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;
Repeating Decimal to Fraction Formula video

For calculation, here's how to convert .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

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

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