99.98 as a Fraction

Here you can find 99.98 as a fraction, both as decimal fraction and in simplest form. We show you how to convert 99.98 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 99.98 in fraction form or 99.98 repeating as a fraction, then you are right here, too.

99.98 has 2 decimal places, so we put the decimal digits of 99.98, 98, over 1 followed by the number of zeroes equal to the number of decimal places, 2: 98 = 98/100. We add 99 as 9900/100 and get:

99.98 as decimal fraction = 9998/100

9998 is the nominator and 100 is the denominator. We now check if the decimal fraction is already in the lowest terms by finding the greatest common factor of 9998 and 100, know as gcf of 9998 and 100.

The gcf(9998,100) is 2, so we can conclude that 9998/100 is not 99.98 as a fraction in simplest form. To obtain 99.98 as a fraction in simplest form we have to divide both, the nominator as well as denominator, by the gcf(9998,100):

9998/100 = $\frac{\frac{9998}{gcf(9998,100)}}{\frac{100}{gcf(9998,100)}}$ = $\frac{\frac{9998}{2}}{\frac{100}{2}}$ = $\frac{4999}{50}$

We write 99.98 as a fraction in simplest form as 4999/50.

99.98 as a fraction in its lowest terms is 4999/50

Read on to learn everything about 99.98 as a fraction.

What is 99.98 as a Fraction

We have already answered what is 99.98 as a fraction above for the cases 99.98 as decimal fraction and 99.98 as a fraction in simplest form.

Yet, by multiplying the denominator and the nominator of 99.98 as a fraction in simplest form with all integers distinct from zero and one we can generate an infinite amount of fractions equivalent to 4999/50, but not in lowest terms:

4999/50 = $\frac{n\hspace{3px} x\hspace{3px} 4999}{n\hspace{3px} x\hspace{3px} 50}$ $\hspace{3px} n \hspace{3px}\epsilon\hspace{3px}\mathbb{Z},\hspace{3px} n\neq 0$.

For example, with n = 2 we obtain 9998/100 and with n = -3 we get 14997/150:
9998/100 = 14997/150 = 4999/50.

We can thus conclude that the question What is 99.98 as a fraction? does not have a single answer, but an indefinite amount of possibilities.

99.98 Repeating as a Fraction

To find out what is 99.98… as a fraction, identify the repeating sequence or pattern, known as reptend or repetend of 99.98 recurring.

The infinitely-repeated digit sequence of 99.98… can be indicated by three periods. For example, 99.9888… as a fraction (repeating 8, the last digit) = 99 89/90 .

Alternatively, a vinculum, that is a horizontal line, can be drawn above the repetend of the fraction of 99.98. In addition, one can sometimes see the period enclosed in parentheses ().

Here, we use the overlined notation to denote 99.98 repeating as a fraction:

99.98 =99 89/90
99.98 =99 98/99

These results for 99.98 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 99.98 on the fly, just make sure to enter enough decimal digits in case your number contains repeating decimal places.

Besides 99.98, similar decimals to fractions calculations on our site include:

This brings us the end of our article. We are left with classifying 99.98 as rational number because in can be written as 9998/100; 9998 and 100 are integers.

99.98 as a Fraction

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