3.331 Repeating as a Fraction

What is 3.331 Repeating as a Fraction?


3.331 Repeating Decimal

= 3 331/999 as a Fraction

Formula How to

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How to write 3.331 Repeating as a Fraction? Convert a repeating decimal number as a simplified fraction or a repeating decimal number as a 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, 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 3.331 Repeating as a Fraction using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    (3.331 x 103) - 3/103 -1
  2. Calculate the numerator and denominator part.
    3328/999
  3. To simplify
    3328/999
    its lowest terms, find GCD (Greatest Common Divisor) for 3328 & 999, which is 1. There is no simplest form of the above value for GCD to be 1. So you can skip step 3 and step 4 calculation. Here's How to Find GCD of 3328 and 999?
    3328/1/999/1
  4. After simplify or reduce the fraction.
    3328/999
    = 3
    331/999
    ;

3.331 Repeating Decimal is 3328/999 or 3 331/999 as a Fraction.

Decimal Repeating as a Fraction
3.326 3323/999
3.327 1108/333
3.328 3325/999
3.329 3326/999
3.33 330/99
3.331 1109.3333333333/333
3.332 3329/999
3.333 3330/999
3.334 10.003003003003/3
3.335 3332/999
3.336 3333/999