99.999 as a Fraction

Here you can find 99.999 as a fraction, both as decimal fraction and in simplest form. We show you how to convert 99.999 to a fraction using the step by step instructions which can be found on our home page. There, you can also learn all about the others terms used in this article. If you have been looking for 99.999 in fraction form or 99.999 repeating as a fraction, then you are right here, too.

99.999 has 3 decimal places, so we put the decimal digits of 99.999, 999, over 1 followed by the number of zeroes equal to the number of decimal places, 3: 999 = 999/1000. We add 99 as 99000/1000 and get:

99.999 as decimal fraction = 99999/1000

99999 is the nominator and 1000 is the denominator. We now check if the decimal fraction is already in the lowest terms by finding the greatest common factor of 99999 and 1000, know as gcf of 99999 and 1000.

The gcf(99999,1000) is 1, so we can conclude that 99999/1000 already is 99.999 as a fraction in simplest form. We write 99.999 as a fraction in simplest form as 99999/1000.

99.999 as a fraction in its lowest terms is 99999/1000

Read on to learn everything about 99.999 as a fraction.

What is 99.999 as a Fraction

We have already answered what is 99.999 as a fraction above for the cases 99.999 as decimal fraction and 99.999 as a fraction in simplest form.

Yet, by multiplying the denominator and the nominator of 99.999 as a fraction in simplest form with all integers distinct from zero and one we can generate an infinite amount of fractions equivalent to 99999/1000, but not in lowest terms:

99999/1000 = \frac{n x 99999}{n x 1000} n\thinspace\epsilon\thinspace \mathbb{Z}, n\neq 0.

For example, with n = 2 we obtain 199998/2000 and with n = -3 we get 299997/3000:
199998/2000 = 299997/3000 = 99999/1000.

We can thus conclude that the question What is 99.999 as a fraction? does not have a single answer, but an indefinite amount of possibilities.

99.999 Repeating as a Fraction

To find out what is 99.999… as a fraction, identify the repeating sequence or pattern, known as reptend or repetend of 99.999 recurring.

The infinitely-repeated digit sequence of 99.999… can be indicated by three periods. For example, 99.99999… as a fraction (repeating 9, the last digit) = 100 .

Alternatively, a vinculum, that is a horizontal line, can be drawn above the repetend of the fraction of 99.999. In addition, one can sometimes see the period enclosed in parentheses ().

Here, we use the overlined notation to denote 99.999 repeating as a fraction:

99.999 =100
99.999 =100
99.999 =100

These results for 99.999 repeating as a fraction are approximations and limited to three digits fractions. For different periods, higher precision and more results use the calculator below.

Our calculator changes a number such as 99.999 on the fly, just make sure to enter enough decimal digits in case your number contains repeating decimal places.

You know what the decimal 99.999 in numerator / denominator notation is.

This brings us the end of our article. We are left with classifying 99.999 as rational number because in can be written as 99999/1000; 99999 and 1000 are integers.

99.999 as a Fraction

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