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6.75 as a Fraction

    Here you can find 6.75 as a fraction, both as decimal fraction and in simplest form as displayed in our converter right below 🙂


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    6.75 has 2 decimal places, so we put the decimal digits of 6.75, 75, over 1 followed by the number of zeroes equal to the number of decimal places, 2: 75 = 75/100. We add 6 as 600/100 and get:

    6.75 as decimal fraction = 675/100

    675 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 675 and 100, know as gcf of 675 and 100.

    The gcf(675,100) is 25, so we can conclude that 675/100 is not yet in simplest form.

    To obtain 6.75 as a fraction in simplest form we have to divide both, the nominator as well as denominator, by the gcf(675,100):

    675/100 = = =

    We write it as 27/4.

    6.75 as a fraction in its lowest terms is 27/4

    Read on to learn everything about the topic.

    What is 6.75 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 27/4, but not in lowest terms:

    27/4 = .

    For example, with n = 2 we obtain 54/8 and with n = -3 we get 81/12:
    54/8 = 81/12 = 27/4.

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

    6.75 Repeating as a Fraction

    To find out what is 6.75… as a fraction, identify the repeating sequence or pattern, known as reptend or repetend of 6.75 recurring.

    The infinitely-repeated digit sequence of 6.75… can be indicated by three periods.

    For example, 6.7555… as a fraction (repeating 5, the last digit) = 6 34/45 .

    Alternatively, a vinculum, that is a horizontal line, can be drawn above the repetend of the fraction of 6.75. In addition, one can sometimes see the period enclosed in parentheses ().

    Here, we use the overlined notation to denote 6.75 repeating as a fraction:

    6.75 = 6 34/45
    6.75 = 6 25/33

    These results for 6.75 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 6.75 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 6.75 in numerator / denominator notation is.

    This brings us the end of our article.


    We are left with classifying 6.75 as rational number because in can be written as 675/100; 675 and 100 are integers.

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