0.1111 Repeating as a Fraction

What is 0.1111 Repeating as a Fraction?

0.1111 Repeating Decimal

= 1/9 as a Fraction

Formula How to
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Repeating Decimal as a Fraction

How to write 0.1111 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 0.1111 Repeating as a Fraction using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    (0.1111 x 104) - 0/104 -1
  2. Calculate the numerator and denominator part.
    1111/9999
  3. To simplify
    1111/9999
    its lowest terms, find GCD (Greatest Common Divisor) for 1111 & 9999, which is 1111. Here's How to Find GCD of 1111 and 9999?
    1111/1111/9999/1111
  4. After simplify or reduce the fraction.
    1/9

Decimal Repeating as a Fraction
0.1106 1106/9999
0.1107 123/1111
0.1108 1108/9999
0.1109 1109/9999
0.111 1/9
0.1111 1/9
0.1112 1112/9999
0.1113 371/3333
0.1114 1114/9999
0.1115 1115/9999

0.1111 Repeating Decimal is 1/9 as a Fraction.
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