0.123 Repeating as a Fraction

What is 0.123 Repeating as a Fraction?

0.123 Repeating Decimal

= 41/333 as a Fraction

Formula How to
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Repeating Decimal as a Fraction

How to write 0.123 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 0.123 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. Here's How to Find GCD of 123 and 999?
    123/3/999/3
  4. After simplify or reduce the fraction.
    41/333

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

0.123 Repeating Decimal is 41/333 as a Fraction.
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