.3333 Repeating as a Fraction

What is .3333 Repeating as a Fraction?


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How to write .3333 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 = Number of non-repeating part of decimal number;

For calculation, here's how to convert .3333 Repeating as a Fraction using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    (0.3333 x 104) - 0/104 -1
  2. Calculate the numerator and denominator part.
    3333/9999
  3. To simplify
    3333/9999
    its lowest terms, find GCD (Greatest Common Divisor) for 3333 & 9999, which is 3333.
    3333/3333/9999/3333
  4. After simplify or reduce the fraction.
    1/3

.3333 Repeating Decimal is 1/3 as a Fraction.

Decimal Repeating as a Fraction
0.3328 3328/9999
0.3329 3329/9999
0.333 333/999
0.3331 370.11111111111/1111
0.3332 3332/9999
0.3333 3333/9999
0.3334 1.000300030003/3
0.3335 3335/9999
0.3336 3336/9999
0.3337 1112.3333333333/3333
0.3338 3338/9999