0.999 Repeating as a Fraction

What is 0.999 Repeating as a Fraction?

0.999 Repeating Decimal

= 1/1 as a Fraction

Formula How to
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Repeating Decimal as a Fraction

How to write 0.999 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 0.999 Repeating as a Fraction using the formula above, step by step instructions are given below

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

Decimal Repeating as a Fraction
0.994 994/999
0.995 995/999
0.996 332/333
0.997 997/999
0.998 998/999
0.999 1/1
1.001 1.001001001001/1
1.002 1001/999
1.003 1002/999
1.004 334.33333333333/333

0.999 Repeating Decimal is 1 as a Fraction.
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