Home » Decimals to Fractions » 10.09 as a Fraction

10.09 as a Fraction

    Here you can find 10.09 as a fraction, both as decimal fraction and in simplest form as displayed in our converter right below 🙂


    How to Convert 10.09 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.

    10.09 has 2 decimal places, so we put the decimal digits of 10.09, 09, over 1 followed by the number of zeroes equal to the number of decimal places, 2: 09 = 09/100. We add 10 as 1000/100 and get:

    10.09 as decimal fraction = 1009/100

    1009 is the nominator and 100 is the denominator.

    We now check if our result is already in the lowest terms by finding the greatest common factor of 1009 and 100, know as gcf of 1009 and 100.

    The gcf(1009,100) is 1, so we can conclude that 1009/100 already is in simplest form. We write it as 1009/100.

    10.09 as a fraction in its lowest terms is 1009/100

    Read on to learn everything about the topic.

    What is 10.09 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 1009/100, but not in lowest terms:

    1009/100 = .

    For example, with n = 2 we obtain 2018/200 and with n = -3 we get 3027/300:
    2018/200 = 3027/300 = 1009/100.

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

    10.09 Repeating as a Fraction

    To find out what is 10.09… as a fraction, identify the repeating sequence or pattern, known as reptend or repetend of 10.09 recurring.

    The infinitely-repeated digit sequence of 10.09… can be indicated by three periods.

    For example, 10.0999… as a fraction (repeating 9, the last digit) = 10 1/10 .

    Alternatively, a vinculum, that is a horizontal line, can be drawn above the repetend of the fraction of 10.09. In addition, one can sometimes see the period enclosed in parentheses ().

    Here, we use the overlined notation to denote 10.09 repeating as a fraction:

    10.09 = 10 1/10
    10.09 = 10 1/11

    These results for 10.09 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 10.09 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 10.09 in numerator / denominator notation is.

    This brings us the end of our article.


    We are left with classifying 10.09 as rational number because in can be written as 1009/100; 1009 and 100 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 10.09 in fraction form are really appreciated and can be left using the form below.

    And if you share 10.09 = 1009/100 we will be very happy.

    Thanks for visiting our website.

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