.22222 Repeating as a Fraction

What is .22222 Repeating as a Fraction?


0.22222 Repeating Decimal

= 2/9 as a Fraction

Formula How to

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How to write 0.22222 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 0.22222 Repeating as a Fraction using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    (0.22222 x 105) - 0/105 -1
  2. Calculate the numerator and denominator part.
    22222/99999
  3. To simplify
    22222/99999
    its lowest terms, find GCD (Greatest Common Divisor) for 22222 & 99999, which is 11111. Here's How to Find GCD of 22222 and 99999?
    22222/11111/99999/11111
  4. After simplify or reduce the fraction.
    2/9

Decimal Repeating as a Fraction
0.22217 22217/99999
0.22218 7406/33333
0.22219 22219/99999
0.2222 2/9
0.22221 2469/11111
0.22222 2/9
0.22223 22223/99999
0.22224 7408/33333
0.22225 22225/99999
0.22226 22226/99999

.22222 Repeating Decimal is 2/9 as a Fraction.