1.66666 Repeating as a Fraction

What is 1.66666 Repeating as a Fraction?


1.66666 Repeating Decimal

= 1 2/3 as a Fraction

Formula How to

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How to write 1.66666 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 1.66666 Repeating as a Fraction using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    (1.66666 x 105) - 1/105 -1
  2. Calculate the numerator and denominator part.
    166665/99999
  3. To simplify
    166665/99999
    its lowest terms, find GCD (Greatest Common Divisor) for 166665 & 99999, which is 33333. Here's How to Find GCD of 166665 and 99999?
    166665/33333/99999/33333
  4. After simplify or reduce the fraction.
    5/3
    = 1
    2/3
    ;

Decimal Repeating as a Fraction
1.66661 166660/99999
1.66662 166661/99999
1.66663 18518/11111
1.66664 166663/99999
1.66665 166664/99999
1.66666 5/3
1.66667 166666/99999
1.66668 166667/99999
1.66669 55556/33333
1.6667 16666/9999

1.66666 Repeating Decimal is 5/3 or 1 2/3 as a Fraction.