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Here you can find 80.788 as a fraction, both as decimal fraction and in simplest form as displayed in our converter right below 🙂
How to Convert 80.788 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.
80.788 has 3 decimal places, so we put the decimal digits of 80.788, 788, over 1 followed by the number of zeroes equal to the number of decimal places, 3: 788 = 788/1000. We add 80 as 80000/1000 and get:
80788 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 80788 and 1000, know as gcf of 80788 and 1000.
The gcf(80788,1000) is 4, so we can conclude that 80788/1000 is not yet in simplest form.
To obtain 80.788 as a fraction in simplest form we have to divide both, the nominator as well as denominator, by the gcf(80788,1000):
80788/1000 =
We write it as 20197/250.
Read on to learn everything about the topic.
What is 80.788 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 20197/250, but not in lowest terms:
20197/250 =
For example, with n = 2 we obtain 40394/500 and with n = -3 we get 60591/750:
40394/500 = 60591/750 = 20197/250.
We can thus conclude that the question under consideration does not have a single answer, but an indefinite amount of possibilities.
80.788 Repeating as a Fraction
To find out what is 80.788… as a fraction, identify the repeating sequence or pattern, known as reptend or repetend of 80.788 recurring.
The infinitely-repeated digit sequence of 80.788… can be indicated by three periods.
For example, 80.78888… as a fraction (repeating 8, the last digit) = 80 71/90 .
Alternatively, a vinculum, that is a horizontal line, can be drawn above the repetend of the fraction of 80.788. In addition, one can sometimes see the period enclosed in parentheses ().
Here, we use the overlined notation to denote 80.788 repeating as a fraction:
80.788 = 80 71/90
80.788 = 80 71/90
80.788 = 80 788/999
These results for 80.788 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 80.788 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 80.788 in numerator / denominator notation is.
This brings us the end of our article.
Summary
We are left with classifying 80.788 as rational number because in can be written as 80788/1000; 80788 and 1000 are integers.
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