0.33336 Repeating as a Fraction

What is 0.33336 Repeating as a Fraction?


0.33336 Repeating Decimal

= 3704/11111 as a Fraction

Formula How to

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How to write 0.33336 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 0.33336 Repeating as a Fraction using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    (0.33336 x 105) - 0/105 -1
  2. Calculate the numerator and denominator part.
    33336/99999
  3. To simplify
    33336/99999
    its lowest terms, find GCD (Greatest Common Divisor) for 33336 & 99999, which is 9. Here's How to Find GCD of 33336 and 99999?
    33336/9/99999/9
  4. After simplify or reduce the fraction.
    3704/11111

Decimal Repeating as a Fraction
0.33331 33331/99999
0.33332 33332/99999
0.33333 1/3
0.33334 33334/99999
0.33335 33335/99999
0.33336 3704/11111
0.33337 33337/99999
0.33338 33338/99999
0.33339 11113/33333
0.3334 3334/9999

0.33336 Repeating Decimal is 3704/11111 as a Fraction.