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5.629 as a Fraction

    Here you can find 5.629 as a fraction, both as decimal fraction and in simplest form as displayed in our converter right below 🙂

    Decimal:
    Fraction:
    5629/1000
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    How to Convert 5.629 to Decimal?

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    5.629 has 3 decimal places, so we put the decimal digits of 5.629, 629, over 1 followed by the number of zeroes equal to the number of decimal places, 3: 629 = 629/1000. We add 5 as 5000/1000 and get:

    5.629 as decimal fraction = 5629/1000


    5629 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 5629 and 1000, know as gcf of 5629 and 1000.

    The gcf(5629,1000) is 1, so we can conclude that 5629/1000 already is in simplest form. We write it as 5629/1000.

    5.629 as a fraction in its lowest terms is 5629/1000

    Read on to learn everything about the topic.

    What is 5.629 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 5629/1000, but not in lowest terms:

    5629/1000 = .

    For example, with n = 2 we obtain 11258/2000 and with n = -3 we get 16887/3000:
    11258/2000 = 16887/3000 = 5629/1000.

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

    5.629 Repeating as a Fraction

    To find out what is 5.629… as a fraction, identify the repeating sequence or pattern, known as reptend or repetend of 5.629 recurring.

    The infinitely-repeated digit sequence of 5.629… can be indicated by three periods.

    For example, 5.62999… as a fraction (repeating 9, the last digit) = 5 63/100.

    Alternatively, a vinculum, that is a horizontal line, can be drawn above the repetend of the fraction of 5.629. In addition, one can sometimes see the period enclosed in parentheses ().

    Here, we use the overlined notation to denote 5.629 repeating as a fraction:

    5.629 = 5 63/100
    5.629 = 5 623/990
    5.629 = 5 17/27

    These results for 5.629 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 5.629 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 5.629 in numerator / denominator notation is.

    This brings us the end of our article.

    Summary

    We are left with classifying 5.629 as rational number because in can be written as 5629/1000; 5629 and 1000 are integers.

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