0.123 Repeating as a Fraction

What is 0.123 Repeating as a Fraction?


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How to write 0.123 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 0.123 Repeating as a Fraction using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    (0.123 x 103) - 0/103 -1
  2. Calculate the numerator and denominator part.
    123/999
  3. To simplify
    123/999
    its lowest terms, find GCD (Greatest Common Divisor) for 123 & 999, which is 3.
    123/3/999/3
  4. After simplify or reduce the fraction.
    41/333

0.123 Repeating Decimal is 41/333 as a Fraction.

Decimal Repeating as a Fraction
0.118 118/999
0.119 119/999
0.12 4/33
0.121 121/999
0.122 122/999
0.123 41/333
0.124 124/999
0.125 125/999
0.126 14/111
0.127 127/999
0.128 128/999