0.55555 Repeating as a Fraction

What is 0.55555 Repeating as a Fraction?

0.55555 Repeating Decimal

= 5/9 as a Fraction

Formula How to
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Repeating Decimal as a Fraction

How to write 0.55555 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 0.55555 Repeating as a Fraction using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    (0.55555 x 105) - 0/105 -1
  2. Calculate the numerator and denominator part.
    55555/99999
  3. To simplify
    55555/99999
    its lowest terms, find GCD (Greatest Common Divisor) for 55555 & 99999, which is 11111. Here's How to Find GCD of 55555 and 99999?
    55555/11111/99999/11111
  4. After simplify or reduce the fraction.
    5/9

Decimal Repeating as a Fraction
0.5555 5/9
0.55551 55551/99999
0.55552 18517.333333333/33333
0.55553 55553/99999
0.55554 55554/99999
0.55555 18518.333333333/33333
0.55556 5.0000900009/9
0.55557 55557/99999
0.55558 6173.1111111111/11111
0.55559 55559/99999
0.5556 5.000900090009/9

0.55555 Repeating Decimal is 5/9 as a Fraction.
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