0.11111 Repeating as a Fraction

What is 0.11111 Repeating as a Fraction?


Share This Calculation :

How to write 0.11111 Repeating as a Fraction? Convert a repeating decimal number as a simplified fraction or 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-

(D × 10R) - N/10R -1

Where,

  • D = The whole decimal number;
  • R = Count the number of repeating part of decimal number;
  • N = Number 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.
    11111/11111/99999/11111
  4. After simplify or reduce the fraction.
    1/9

0.11111 Repeating Decimal is equal to 1/9 as a Fraction.

Decimal Repeating as a Fraction
.083 83/999
.09 1/11
.11111 1/9
.12 4/33
.123 41/333
0.11111 1/9
0.12 4/33
0.135 5/37
0.15 5/33
0.18 2/11
0.194 194/999
Simplified Mixed