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0.998 as a Fraction

    Here you can find 0.998 as a fraction, both as decimal fraction and in simplest form as displayed in our converter right below 🙂

    Decimal:
    Fraction:
    499/500
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    0.998 has 3 decimal places, so we put the decimal digits of 0.998, 998, over 1 followed by the number of zeroes equal to the number of decimal places, 3: 998 = 998/1000.

    0.998 as decimal fraction = 998/1000


    998 is the nominator and 1000 is the denominator.

    We now check if our result is already in the lowest terms by finding the greatest common factor of 998 and 1000, know as gcf of 998 and 1000.

    The gcf(998,1000) is 2, so we can conclude that 998/1000 is not yet in simplest form.

    To obtain 0.998 as a fraction in simplest form we have to divide both, the nominator as well as denominator, by the gcf(998,1000):

    998/1000 = = =

    We write it as 499/500.

    0.998 as a fraction in its lowest terms is 499/500

    Read on to learn everything about the topic.

    What is 0.998 as a Fraction?

    We have already answered the question for the case decimal fraction in simplest form.

    Yet, by multiplying the denominator and the nominator of our result in simplest form with all integers distinct from zero and one we can generate an infinite amount of fractions equivalent to 499/500, but not in lowest terms:

    499/500 = .

    For example, with n = 2 we obtain 998/1000 and with n = -3 we get 1497/1500:
    998/1000 = 1497/1500 = 499/500.

    We can thus conclude that the question under consideration does not have a single answer, but an indefinite amount of possibilities.

    0.998 Repeating as a Fraction

    To find out what is 0.998… as a fraction, identify the repeating sequence or pattern, known as reptend or repetend of 0.998 recurring.

    The infinitely-repeated digit sequence of 0.998… can be indicated by three periods.

    For example, 0.99888… as a fraction (repeating 8, the last digit) = 899/900.

    Alternatively, a vinculum, that is a horizontal line, can be drawn above the repetend of the fraction of 0.998. In addition, one can sometimes see the period enclosed in parentheses ().

    Here, we use the overlined notation to denote 0.998 repeating as a fraction:

    0.998 = 899/900
    0.998 = 989/990
    0.998 = 998/999

    These results for 0.998 repeating as a fraction are approximations and limited to three digits fractions.

    For different periods, higher precision and more results use the calculator below.

    BTW: Our app changes a number such as 0.998 on the fly, just make sure to enter enough decimal digits in case your number contains repeating decimal places.

    You certainly know what the decimal 0.998 in numerator / denominator notation is.

    This brings us the end of our article.

    Summary

    We are left with classifying 0.998 as rational number because in can be written as 998/1000; 998 and 1000 are integers.

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    – Article written by Mark