4.136 Repeating as a Fraction

What is 4.136 Repeating as a Fraction?

4.136 Repeating Decimal

= 4 136/999 as a Fraction

Formula How to
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Repeating Decimal as a Fraction

How to write 4.136 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 4.136 Repeating as a Fraction using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    (4.136 x 103) - 4/103 -1
  2. Calculate the numerator and denominator part.
    4132/999
  3. To simplify
    4132/999
    its lowest terms, find GCD (Greatest Common Divisor) for 4132 & 999, which is 1. There is no simplest form of the above value for GCD to be 1. So you can skip step 3 and step 4 calculation. Here's How to Find GCD of 4132 and 999?
    4132/1/999/1
  4. After simplify or reduce the fraction.
    4132/999
    = 4
    136/999
    ;

Decimal Repeating as a Fraction
4.131 4127/999
4.132 1376/333
4.133 4129/999
4.134 4130/999
4.135 153/37
4.136 4132/999
4.137 4133/999
4.138 1378/333
4.139 4135/999
4.14 410/99

4.136 Repeating Decimal is 4132/999 or 4 136/999 as a Fraction.
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