Home » Decimals to Fractions » 9.005 as a Fraction

9.005 as a Fraction

    Here you can find 9.005 as a fraction, both as decimal fraction and in simplest form as displayed in our converter right below 🙂

    Decimal:
    Fraction:
    1801/200
    Reset

    How to Convert 9.005 to Decimal?

    Now we show you how to change the number 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.

    9.005 has 3 decimal places, so we put the decimal digits of 9.005, 005, over 1 followed by the number of zeroes equal to the number of decimal places, 3: 005 = 005/1000. We add 9 as 9000/1000 and get:

    9.005 as decimal fraction = 9005/1000


    9005 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 9005 and 1000, know as gcf of 9005 and 1000.

    The gcf(9005,1000) is 5, so we can conclude that 9005/1000 is not yet in simplest form.

    To obtain 9.005 as a fraction in simplest form we have to divide both, the nominator as well as denominator, by the gcf(9005,1000):

    9005/1000 = = =

    We write it as 1801/200.

    9.005 as a fraction in its lowest terms is 1801/200

    Read on to learn everything about the topic.

    What is 9.005 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 1801/200, but not in lowest terms:

    1801/200 = .

    For example, with n = 2 we obtain 3602/400 and with n = -3 we get 5403/600:
    3602/400 = 5403/600 = 1801/200.

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

    9.005 Repeating as a Fraction

    To find out what is 9.005… as a fraction, identify the repeating sequence or pattern, known as reptend or repetend of 9.005 recurring.

    The infinitely-repeated digit sequence of 9.005… can be indicated by three periods.

    For example, 9.00555… as a fraction (repeating 5, the last digit) = 9 1/180.

    Alternatively, a vinculum, that is a horizontal line, can be drawn above the repetend of the fraction of 9.005. In addition, one can sometimes see the period enclosed in parentheses ().

    Here, we use the overlined notation to denote 9.005 repeating as a fraction:

    9.005 = 9 1/180
    9.005 = 9 1/198
    9.005 = 9 5/999

    These results for 9.005 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 9.005 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 9.005 in numerator / denominator notation is.

    This brings us the end of our article.

    Summary

    We are left with classifying 9.005 as rational number because in can be written as 9005/1000; 9005 and 1000 are integers.

    Bookmark us now if our content and our calculator have been helpful to you.

    Note that we have already changed many decimals to a fraction.

    You can find them by means of the search form in the sidebar.

    Give it a try right now!

    Similar conversions include, for example:

    Comments or questions about 9.005 in fraction form are really appreciated and can be left using the form below.

    And if you share 9.005 = 9005/1000 we will be very happy.

    Thanks for visiting our website.

    – Article written by Mark, last updated on December 25th, 2023