3.333 Repeating as a Fraction

What is 3.333 Repeating as a Fraction?

3.333 Repeating Decimal

= 3 1/3 as a Fraction

Formula How to
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Repeating Decimal as a Fraction

How to write 3.333 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 3.333 Repeating as a Fraction using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    (3.333 x 103) - 3/103 -1
  2. Calculate the numerator and denominator part.
    3330/999
  3. To simplify
    3330/999
    its lowest terms, find GCD (Greatest Common Divisor) for 3330 & 999, which is 333. Here's How to Find GCD of 3330 and 999?
    3330/333/999/333
  4. After simplify or reduce the fraction.
    10/3
    = 3
    1/3
    ;

3.333 Repeating Decimal is 10/3 or 3 1/3 as a Fraction.

Decimal Repeating as a Fraction
3.328 3325/999
3.329 3326/999
3.33 10/3
3.331 3328/999
3.332 3329/999
3.333 3330/999
3.334 10.003003003003/3
3.335 3332/999
3.336 3333/999
3.337 1111.3333333333/333
3.338 3335/999
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