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Here you can find 60.02 as a fraction, both as decimal fraction and in simplest form as displayed in our converter right below 🙂
How to Convert 60.02 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.
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60.02 has 2 decimal places, so we put the decimal digits of 60.02, 02, over 1 followed by the number of zeroes equal to the number of decimal places, 2: 02 = 02/100. We add 60 as 6000/100 and get:
6002 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 6002 and 100, know as gcf of 6002 and 100.
The gcf(6002,100) is 2, so we can conclude that 6002/100 is not yet in simplest form.
To obtain 60.02 as a fraction in simplest form we have to divide both, the nominator as well as denominator, by the gcf(6002,100):
6002/100 =
We write it as 3001/50.
Read on to learn everything about the topic.
What is 60.02 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 3001/50, but not in lowest terms:
3001/50 =
For example, with n = 2 we obtain 6002/100 and with n = -3 we get 9003/150:
6002/100 = 9003/150 = 3001/50.
We can thus conclude that the question under consideration does not have a single answer, but an indefinite amount of possibilities.
60.02 Repeating as a Fraction
To find out what is 60.02… as a fraction, identify the repeating sequence or pattern, known as reptend or repetend of 60.02 recurring.
The infinitely-repeated digit sequence of 60.02… can be indicated by three periods.
For example, 60.0222… as a fraction (repeating 2, the last digit) = 60 1/45 .
Alternatively, a vinculum, that is a horizontal line, can be drawn above the repetend of the fraction of 60.02. In addition, one can sometimes see the period enclosed in parentheses ().
Here, we use the overlined notation to denote 60.02 repeating as a fraction:
60.02 = 60 1/45
60.02 = 60 2/99
These results for 60.02 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 60.02 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 60.02 in numerator / denominator notation is.
This brings us the end of our article.
Summary
We are left with classifying 60.02 as rational number because in can be written as 6002/100; 6002 and 100 are integers.
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