.333 Repeating as a Fraction

What is .333 Repeating as a Fraction?


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How to write .333 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

For calculation, here's how to convert .333 Repeating as a Fraction using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    (0.333 x 103) - 0/103 -1
  2. Calculate the numerator and denominator part.
    333/999
  3. To simplify
    333/999
    its lowest terms, find GCD (Greatest Common Divisor) for 333 & 999, which is 333. Here's How to Find GCD of 333 and 999?
    333/333/999/333
  4. After simplify or reduce the fraction.
    1/3

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

Decimal Repeating as a Fraction
0.328 328/999
0.329 329/999
0.33 1/3
0.331 331/999
0.332 332/999
0.333 1/3
0.334 334/999
0.335 335/999
0.336 112/333
0.337 337/999
0.338 338/999