0.185 Repeating as a Fraction

What is 0.185 Repeating as a Fraction?

0.185 Repeating Decimal

= 5/27 as a Fraction

Formula How to
Share This Calculation:
Reference This Calculation:
Repeating Decimal as a Fraction

How to write 0.185 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 0.185 Repeating as a Fraction using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    (0.185 x 103) - 0/103 -1
  2. Calculate the numerator and denominator part.
    185/999
  3. To simplify
    185/999
    its lowest terms, find GCD (Greatest Common Divisor) for 185 & 999, which is 37. Here's How to Find GCD of 185 and 999?
    185/37/999/37
  4. After simplify or reduce the fraction.
    5/27

Decimal Repeating as a Fraction
0.18 2/11
0.181 181/999
0.182 182/999
0.183 61/333
0.184 184/999
0.185 5/27
0.186 62/333
0.187 187/999
0.188 188/999
0.189 7/37
0.19 19/99

0.185 Repeating Decimal is 5/27 as a Fraction.
Calculations