Here you can find 0.077 as a fraction, both as decimal fraction and in simplest form as displayed in our converter right below 🙂
Table of Contents
There, you can also learn all about the others terms used in this article.
We have already answered the question for the cases decimal fraction and in simplest form.
0.077 has 3 decimal places, so we put the decimal digits of 0.077, 077, over 1 followed by the number of zeroes equal to the number of decimal places, 3: 077 = 077/1000.
77 is the nominator and 1000 is the denominator.
We now check if the decimal fraction is already in the lowest terms by finding the greatest common factor of 77 and 1000, know as gcf of 77 and 1000.
The gcf(77,1000) is 1, so we can conclude that 77/1000 already is 0.077 as a fraction in simplest form. We write it as 77/1000.
Read on to learn everything about the topic.
What is 0.077 as a Fraction?We have already answered the question for the cases decimal fraction and in simplest form.
Yet, by multiplying the denominator and the nominator of 0.077 as a fraction in simplest form with all integers distinct from zero and one we can generate an infinite amount of fractions equivalent to 77/1000, but not in lowest terms:
For example, with n = 2 we obtain 154/2000 and with n = -3 we get 231/3000:
154/2000 = 231/3000 = 77/1000.
We can thus conclude that the question under consideration does not have a single answer, but an indefinite amount of possibilities.
0.077 Repeating as a FractionTo find out what is 0.077… as a fraction, identify the repeating sequence or pattern, known as reptend or repetend of 0.077 recurring.
The infinitely-repeated digit sequence of 0.077… can be indicated by three periods. For example, 0.07777… as a fraction (repeating 7, the last digit) = 7/90 .
Alternatively, a vinculum, that is a horizontal line, can be drawn above the repetend of the fraction of 0.077. In addition, one can sometimes see the period enclosed in parentheses ().
Here, we use the overlined notation to denote 0.077 repeating as a fraction:
0.077 = 7/90
0.077 = 7/90
0.077 = 77/999
These results for 0.077 repeating as a fraction are approximations and limited to three digits fractions. For different periods, higher precision and more results use the calculator below.
Our calculator changes a number such as 0.077 on the fly, just make sure to enter enough decimal digits in case your number contains repeating decimal places.
You know what the decimal 0.077 in numerator / denominator notation is.
Ahead are the frequently asked questions.
What is 0.077 as a fraction?
What is 0.077 as a fraction in simplest form?
What is 77/1000 as a number?
This brings us the end of our article.
SummaryWe are left with classifying 0.077 as rational number because in can be written as 77/1000; 77 and 1000 are integers.
Note that we have already changed many decimal numbers to fraction.
You can find them by means of the search form in the sidebar. Give it a try right now!
Similar numbers converted to a fraction include, for example:
Thanks for visiting our website.