.16666 Repeating as a Fraction

What is .16666 Repeating as a Fraction?


0.16666 Repeating Decimal

= 16666/99999 as a Fraction

Formula How to

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How to write 0.16666 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 0.16666 Repeating as a Fraction using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    (0.16666 x 105) - 0/105 -1
  2. Calculate the numerator and denominator part.
    16666/99999
  3. To simplify
    16666/99999
    its lowest terms, find GCD (Greatest Common Divisor) for 16666 & 99999, 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 16666 and 99999?
    16666/1/99999/1
  4. After simplify or reduce the fraction.
    16666/99999

Decimal Repeating as a Fraction
0.16661 16661/99999
0.16662 5554/33333
0.16663 16663/99999
0.16664 16664/99999
0.16665 5555/33333
0.16666 16666/99999
0.16667 16667/99999
0.16668 1852/11111
0.16669 16669/99999
0.1667 1667/9999

.16666 Repeating Decimal is 16666/99999 as a Fraction.