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Here you can find 10.09 as a fraction, both as decimal fraction and in simplest form as displayed in our converter right below 🙂
How to Convert 10.09 to Decimal?
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10.09 has 2 decimal places, so we put the decimal digits of 10.09, 09, over 1 followed by the number of zeroes equal to the number of decimal places, 2: 09 = 09/100. We add 10 as 1000/100 and get:
1009 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 1009 and 100, know as gcf of 1009 and 100.
The gcf(1009,100) is 1, so we can conclude that 1009/100 already is in simplest form. We write it as 1009/100.
Read on to learn everything about the topic.
What is 10.09 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 1009/100, but not in lowest terms:
1009/100 =
For example, with n = 2 we obtain 2018/200 and with n = -3 we get 3027/300:
2018/200 = 3027/300 = 1009/100.
We can thus conclude that the question under consideration does not have a single answer, but an indefinite amount of possibilities.
10.09 Repeating as a Fraction
To find out what is 10.09… as a fraction, identify the repeating sequence or pattern, known as reptend or repetend of 10.09 recurring.
The infinitely-repeated digit sequence of 10.09… can be indicated by three periods.
For example, 10.0999… as a fraction (repeating 9, the last digit) = 10 1/10 .
Alternatively, a vinculum, that is a horizontal line, can be drawn above the repetend of the fraction of 10.09. In addition, one can sometimes see the period enclosed in parentheses ().
Here, we use the overlined notation to denote 10.09 repeating as a fraction:
10.09 = 10 1/10
10.09 = 10 1/11
These results for 10.09 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 10.09 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 10.09 in numerator / denominator notation is.
This brings us the end of our article.
Summary
We are left with classifying 10.09 as rational number because in can be written as 1009/100; 1009 and 100 are integers.
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