99.998 as a Fraction

Here you can find 99.998 as a fraction, both as decimal fraction and in simplest form. We show you how to convert 99.998 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 99.998 in fraction form or 99.998 repeating as a fraction, then you are right here, too.

99.998 has 3 decimal places, so we put the decimal digits of 99.998, 998, over 1 followed by the number of zeroes equal to the number of decimal places, 3: 998 = 998/1000. We add 99 as 99000/1000 and get:

99.998 as decimal fraction = 99998/1000

99998 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 99998 and 1000, know as gcf of 99998 and 1000.

The gcf(99998,1000) is 2, so we can conclude that 99998/1000 is not 99.998 as a fraction in simplest form. To obtain 99.998 as a fraction in simplest form we have to divide both, the nominator as well as denominator, by the gcf(99998,1000):

99998/1000 = \frac{\frac{99998}{gcf(99998,1000)}}{\frac{1000}{gcf(99998,1000)}} = \frac{\frac{99998}{2}}{\frac{1000}{2}} = \frac{49999}{500}

We write 99.998 as a fraction in simplest form as 49999/500.

99.998 as a fraction in its lowest terms is 49999/500

Read on to learn everything about 99.998 as a fraction.

What is 99.998 as a Fraction

We have already answered what is 99.998 as a fraction above for the cases 99.998 as decimal fraction and 99.998 as a fraction in simplest form.

Yet, by multiplying the denominator and the nominator of 99.998 as a fraction in simplest form with all integers distinct from zero and one we can generate an infinite amount of fractions equivalent to 49999/500, but not in lowest terms:

49999/500 = \frac{n x 49999}{n x 500} n\thinspace\epsilon\thinspace \mathbb{Z}, n\neq 0.

For example, with n = 2 we obtain 99998/1000 and with n = -3 we get 149997/1500:
99998/1000 = 149997/1500 = 49999/500.

We can thus conclude that the question What is 99.998 as a fraction? does not have a single answer, but an indefinite amount of possibilities.

99.998 Repeating as a Fraction

To find out what is 99.998… as a fraction, identify the repeating sequence or pattern, known as reptend or repetend of 99.998 recurring.

The infinitely-repeated digit sequence of 99.998… can be indicated by three periods. For example, 99.99888… as a fraction (repeating 8, the last digit) = 99 899/900.

Alternatively, a vinculum, that is a horizontal line, can be drawn above the repetend of the fraction of 99.998. In addition, one can sometimes see the period enclosed in parentheses ().

Here, we use the overlined notation to denote 99.998 repeating as a fraction:

99.998 =99 899/900
99.998 =99 989/990
99.998 =99 998/999

These results for 99.998 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 99.998 on the fly, just make sure to enter enough decimal digits in case your number contains repeating decimal places.

You know what the decimal 99.998 in numerator / denominator notation is.

This brings us the end of our article. We are left with classifying 99.998 as rational number because in can be written as 99998/1000; 99998 and 1000 are integers.

99.998 as a Fraction

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