0.027 Repeating as a Fraction

What is 0.027 Repeating as a Fraction?

0.027 Repeating Decimal

= 1/37 as a Fraction

Formula How to
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Repeating Decimal as a Fraction

How to write 0.027 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 0.027 Repeating as a Fraction using the formula above, step by step instructions are given below

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

Decimal Repeating as a Fraction
0.022 22/999
0.023 23/999
0.024 8/333
0.025 25/999
0.026 26/999
0.027 1/37
0.028 28/999
0.029 29/999
0.03 1/33
0.031 31/999

0.027 Repeating Decimal is 1/37 as a Fraction.
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