0.033 Repeating as a Fraction

What is 0.033 Repeating as a Fraction?

0.033 Repeating Decimal

= 11/333 as a Fraction

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

How to write 0.033 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 0.033 Repeating as a Fraction using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    (0.033 x 103) - 0/103 -1
  2. Calculate the numerator and denominator part.
    33/999
  3. To simplify
    33/999
    its lowest terms, find GCD (Greatest Common Divisor) for 33 & 999, which is 3. Here's How to Find GCD of 33 and 999?
    33/3/999/3
  4. After simplify or reduce the fraction.
    11/333

Decimal Repeating as a Fraction
0.028 28/999
0.029 29/999
0.03 1/33
0.031 31/999
0.032 32/999
0.033 11/333
0.034 34/999
0.035 35/999
0.036 4/111
0.037 1/27

0.033 Repeating Decimal is 11/333 as a Fraction.
Calculations