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11.342 as a Fraction

    Here you can find 11.342 as a fraction, both as decimal fraction and in simplest form as displayed in our converter right below 🙂

    Decimal:
    Fraction:
    5671/500
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    11.342 has 3 decimal places, so we put the decimal digits of 11.342, 342, over 1 followed by the number of zeroes equal to the number of decimal places, 3: 342 = 342/1000. We add 11 as 11000/1000 and get:

    11.342 as decimal fraction = 11342/1000


    11342 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 11342 and 1000, know as gcf of 11342 and 1000.

    The gcf(11342,1000) is 2, so we can conclude that 11342/1000 is not yet in simplest form.

    To obtain 11.342 as a fraction in simplest form we have to divide both, the nominator as well as denominator, by the gcf(11342,1000):

    11342/1000 = = =

    We write it as 5671/500.

    11.342 as a fraction in its lowest terms is 5671/500

    Read on to learn everything about the topic.

    What is 11.342 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 5671/500, but not in lowest terms:

    5671/500 = .

    For example, with n = 2 we obtain 11342/1000 and with n = -3 we get 17013/1500:
    11342/1000 = 17013/1500 = 5671/500.

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

    11.342 Repeating as a Fraction

    To find out what is 11.342… as a fraction, identify the repeating sequence or pattern, known as reptend or repetend of 11.342 recurring.

    The infinitely-repeated digit sequence of 11.342… can be indicated by three periods.

    For example, 11.34222… as a fraction (repeating 2, the last digit) = 11 77/225.

    Alternatively, a vinculum, that is a horizontal line, can be drawn above the repetend of the fraction of 11.342. In addition, one can sometimes see the period enclosed in parentheses ().

    Here, we use the overlined notation to denote 11.342 repeating as a fraction:

    11.342 = 11 77/225
    11.342 = 11 113/330
    11.342 = 11 38/111

    These results for 11.342 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 11.342 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 11.342 in numerator / denominator notation is.

    This brings us the end of our article.

    Summary

    We are left with classifying 11.342 as rational number because in can be written as 11342/1000; 11342 and 1000 are integers.

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