Here you can find 99.989 as a fraction, both as decimal fraction and in simplest form. We show you how to convert 99.989 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 99.989 in fraction form or 99.989 repeating as a fraction, then you are right here, too.
99.989 has 3 decimal places, so we put the decimal digits of 99.989, 989, over 1 followed by the number of zeroes equal to the number of decimal places, 3: 989 = 989/1000. We add 99 as 99000/1000 and get:
99989 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 99989 and 1000, know as gcf of 99989 and 1000.
The gcf(99989,1000) is 1, so we can conclude that 99989/1000 already is 99.989 as a fraction in simplest form. We write 99.989 as a fraction in simplest form as 99989/1000.
Read on to learn everything about 99.989 as a fraction.
What is 99.989 as a Fraction
We have already answered what is 99.989 as a fraction above for the cases 99.989 as decimal fraction and 99.989 as a fraction in simplest form.
Yet, by multiplying the denominator and the nominator of 99.989 as a fraction in simplest form with all integers distinct from zero and one we can generate an infinite amount of fractions equivalent to 99989/1000, but not in lowest terms:
99989/1000 = .
For example, with n = 2 we obtain 199978/2000 and with n = -3 we get 299967/3000:
199978/2000 = 299967/3000 = 99989/1000.
We can thus conclude that the question What is 99.989 as a fraction? does not have a single answer, but an indefinite amount of possibilities.
99.989 Repeating as a Fraction
To find out what is 99.989… as a fraction, identify the repeating sequence or pattern, known as reptend or repetend of 99.989 recurring.
The infinitely-repeated digit sequence of 99.989… can be indicated by three periods. For example, 99.98999… as a fraction (repeating 9, the last digit) = 99 99/100.
Alternatively, a vinculum, that is a horizontal line, can be drawn above the repetend of the fraction of 99.989. In addition, one can sometimes see the period enclosed in parentheses ().
Here, we use the overlined notation to denote 99.989 repeating as a fraction:
99.989 =99 99/100
99.989 =99 98/99
99.989 =99 989/999
These results for 99.989 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 99.989 on the fly, just make sure to enter enough decimal digits in case your number contains repeating decimal places.
This brings us the end of our article. We are left with classifying 99.989 as rational number because in can be written as 99989/1000; 99989 and 1000 are integers.
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