.1666 Repeating as a Fraction

What is .1666 Repeating as a Fraction?


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How to write .1666 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 .1666 Repeating as a Fraction using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    (0.1666 x 104) - 0/104 -1
  2. Calculate the numerator and denominator part.
    1666/9999
  3. To simplify
    1666/9999
    its lowest terms, find GCD (Greatest Common Divisor) for 1666 & 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 1666 and 9999?
    1666/1/9999/1
  4. After simplify or reduce the fraction.
    1666/9999

.1666 Repeating Decimal is 1666/9999 as a Fraction.

Decimal Repeating as a Fraction
0.1661 151/909
0.1662 151.09090909091/909
0.1663 554.33333333333/3333
0.1664 1664/9999
0.1665 1665/9999
0.1666 185.11111111111/1111
0.1667 1667/9999
0.1668 1668/9999
0.1669 556.33333333333/3333
0.167 167/999
0.1671 1671/9999