0.138 Repeating as a Fraction

What is 0.138 Repeating as a Fraction?

0.138 Repeating Decimal

= 46/333 as a Fraction

Formula How to
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Repeating Decimal as a Fraction

How to write 0.138 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 0.138 Repeating as a Fraction using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    (0.138 x 103) - 0/103 -1
  2. Calculate the numerator and denominator part.
    138/999
  3. To simplify
    138/999
    its lowest terms, find GCD (Greatest Common Divisor) for 138 & 999, which is 3. Here's How to Find GCD of 138 and 999?
    138/3/999/3
  4. After simplify or reduce the fraction.
    46/333

Decimal Repeating as a Fraction
0.133 133/999
0.134 134/999
0.135 5/37
0.136 136/999
0.137 137/999
0.138 46/333
0.139 139/999
0.14 14/99
0.141 47/333
0.142 142/999
0.143 143/999

0.138 Repeating Decimal is 46/333 as a Fraction.
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