0.11111 Repeating as a Fraction

What is 0.11111 Repeating as a Fraction?

0.11111 Repeating Decimal

= 1/9 as a Fraction

Formula How to
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Repeating Decimal as a Fraction

How to write 0.11111 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 0.11111 Repeating as a Fraction using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    (0.11111 x 105) - 0/105 -1
  2. Calculate the numerator and denominator part.
    11111/99999
  3. To simplify
    11111/99999
    its lowest terms, find GCD (Greatest Common Divisor) for 11111 & 99999, which is 11111. Here's How to Find GCD of 11111 and 99999?
    11111/11111/99999/11111
  4. After simplify or reduce the fraction.
    1/9

Decimal Repeating as a Fraction
0.11106 1234/11111
0.11107 11107/99999
0.11108 11108/99999
0.11109 3703/33333
0.1111 1/9
0.11111 11111/99999
0.11112 1.0000900009/9
0.11113 3704.3333333333/33333
0.11114 11114/99999
0.11115 11115/99999
0.11116 1235.1111111111/11111

0.11111 Repeating Decimal is 1/9 as a Fraction.
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