.33333 Repeating as a Fraction

What is .33333 Repeating as a Fraction?


0.33333 Repeating Decimal

= 1/3 as a Fraction

Formula How to

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How to write 0.33333 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 0.33333 Repeating as a Fraction using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    (0.33333 x 105) - 0/105 -1
  2. Calculate the numerator and denominator part.
    33333/99999
  3. To simplify
    33333/99999
    its lowest terms, find GCD (Greatest Common Divisor) for 33333 & 99999, which is 33333. Here's How to Find GCD of 33333 and 99999?
    33333/33333/99999/33333
  4. After simplify or reduce the fraction.
    1/3

Decimal Repeating as a Fraction
0.33328 33328/99999
0.33329 33329/99999
0.3333 1/3
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

.33333 Repeating Decimal is 1/3 as a Fraction.