0.201 Repeating as a Fraction

What is 0.201 Repeating as a Fraction?

0.201 Repeating Decimal

= 67/333 as a Fraction

Formula How to
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Repeating Decimal as a Fraction

How to write 0.201 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 0.201 Repeating as a Fraction using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    (0.201 x 103) - 0/103 -1
  2. Calculate the numerator and denominator part.
    201/999
  3. To simplify
    201/999
    its lowest terms, find GCD (Greatest Common Divisor) for 201 & 999, which is 3. Here's How to Find GCD of 201 and 999?
    201/3/999/3
  4. After simplify or reduce the fraction.
    67/333

Decimal Repeating as a Fraction
0.196 196/999
0.197 197/999
0.198 22/111
0.199 199/999
0.2 2/9
0.201 67/333
0.202 202/999
0.203 203/999
0.204 68/333
0.205 205/999
0.206 206/999

0.201 Repeating Decimal is 67/333 as a Fraction.
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