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22.2 as a Fraction

    Here you can find 22.2 as a fraction, both as decimal fraction and in simplest form as displayed in our converter right below 🙂


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    How to Convert 22.2 to Decimal?

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    22.2 has 1 decimal place, so we put the decimal digit of 22.2, 2, over 1 followed by the number of zeroes equal to the number of decimal places, 1: 2 = 2/10. We add 22 as 220/10 and get:

    22.2 as decimal fraction = 222/10

    222 is the nominator and 10 is the denominator.

    We now check if our result is already in the lowest terms by finding the greatest common factor of 222 and 10, know as gcf of 222 and 10.

    The gcf(222,10) is 2, so we can conclude that 222/10 is not yet in simplest form.

    To obtain 22.2 as a fraction in simplest form we have to divide both, the nominator as well as denominator, by the gcf(222,10):

    222/10 = = =

    We write it as 111/5.

    22.2 as a fraction in its lowest terms is 111/5

    Read on to learn everything about the topic.

    What is 22.2 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 111/5, but not in lowest terms:

    111/5 = .

    For example, with n = 2 we obtain 222/10 and with n = -3 we get 333/15:
    222/10 = 333/15 = 111/5.

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

    22.2 Repeating as a Fraction

    To find out what is 22.2… as a fraction, identify the repeating sequence or pattern, known as reptend or repetend of 22.2 recurring.

    The infinitely-repeated digit sequence of 22.2… can be indicated by three periods.

    For example, 22.222… as a fraction (repeating 2, the last digit) = 22 2/9 .

    Alternatively, a vinculum, that is a horizontal line, can be drawn above the repetend of the fraction of 22.2. In addition, one can sometimes see the period enclosed in parentheses ().

    Here, we use the overlined notation to denote 22.2 repeating as a fraction:

    22.2 = 22 2/9

    These results for 22.2 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 22.2 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 22.2 in numerator / denominator notation is.

    This brings us the end of our article.


    We are left with classifying 22.2 as rational number because in can be written as 222/10; 222 and 10 are integers.

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    – Article written by Mark