.135 Repeating as a Fraction

What is .135 Repeating as a Fraction?

0.135 Repeating Decimal

= 5/37 as a Fraction

Formula How to
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Repeating Decimal as a Fraction

How to write 0.135 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 0.135 Repeating as a Fraction using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    (0.135 x 103) - 0/103 -1
  2. Calculate the numerator and denominator part.
    135/999
  3. To simplify
    135/999
    its lowest terms, find GCD (Greatest Common Divisor) for 135 & 999, which is 27. Here's How to Find GCD of 135 and 999?
    135/27/999/27
  4. After simplify or reduce the fraction.
    5/37

Decimal Repeating as a Fraction
0.13 13/99
0.131 131/999
0.132 44/333
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

.135 Repeating Decimal is 5/37 as a Fraction.
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