0.031 Repeating as a Fraction

What is 0.031 Repeating as a Fraction?

0.031 Repeating Decimal

= 31/999 as a Fraction

Formula How to
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Repeating Decimal as a Fraction

How to write 0.031 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 0.031 Repeating as a Fraction using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    (0.031 x 103) - 0/103 -1
  2. Calculate the numerator and denominator part.
    31/999
  3. To simplify
    31/999
    its lowest terms, find GCD (Greatest Common Divisor) for 31 & 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 31 and 999?
    31/1/999/1
  4. After simplify or reduce the fraction.
    31/999

Decimal Repeating as a Fraction
0.026 26/999
0.027 1/37
0.028 28/999
0.029 29/999
0.03 1/33
0.031 31/999
0.032 32/999
0.033 11/333
0.034 34/999
0.035 35/999

0.031 Repeating Decimal is 31/999 as a Fraction.
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