# 0.101 as a Fraction

Here you can find 0.101 as a fraction, both as decimal fraction and in simplest form. We show you how to convert 0.101 to a fraction 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. If you have been looking for 0.101 in fraction form or 0.101 repeating as a fraction, then you are right here, too.

0.101 has 3 decimal places, so we put the decimal digits of 0.101, 101, over 1 followed by the number of zeroes equal to the number of decimal places, 3: 101 = 101/1000.

0.101 as decimal fraction = 101/1000

101 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 101 and 1000, know as gcf of 101 and 1000.

The gcf(101,1000) is 1, so we can conclude that 101/1000 already is 0.101 as a fraction in simplest form. We write 0.101 as a fraction in simplest form as 101/1000.

0.101 as a fraction in its lowest terms is 101/1000

## What is 0.101 as a Fraction

We have already answered what is 0.101 as a fraction above for the cases 0.101 as decimal fraction and 0.101 as a fraction in simplest form.

Yet, by multiplying the denominator and the nominator of 0.101 as a fraction in simplest form with all integers distinct from zero and one we can generate an infinite amount of fractions equivalent to 101/1000, but not in lowest terms:

101/1000 = $\frac{n\hspace{3px} x\hspace{3px} 101}{n\hspace{3px} x\hspace{3px} 1000}$ $\hspace{3px} n \hspace{3px}\epsilon\hspace{3px}\mathbb{Z},\hspace{3px} n\neq 0$.

For example, with n = 2 we obtain 202/2000 and with n = -3 we get 303/3000:
202/2000 = 303/3000 = 101/1000.

We can thus conclude that the question What is 0.101 as a fraction? does not have a single answer, but an indefinite amount of possibilities.

## 0.101 Repeating as a Fraction

To find out what is 0.101… as a fraction, identify the repeating sequence or pattern, known as reptend or repetend of 0.101 recurring.

The infinitely-repeated digit sequence of 0.101… can be indicated by three periods. For example, 0.10111… as a fraction (repeating 1, the last digit) = 91/900.

Alternatively, a vinculum, that is a horizontal line, can be drawn above the repetend of the fraction of 0.101. In addition, one can sometimes see the period enclosed in parentheses ().

Here, we use the overlined notation to denote 0.101 repeating as a fraction:

0.101 = 91/900
0.101 = 10/99
0.101 = 101/999

These results for 0.101 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 0.101 on the fly, just make sure to enter enough decimal digits in case your number contains repeating decimal places.

Besides 0.101, similar decimals to fractions calculations on our site include:

This brings us the end of our article. We are left with classifying 0.101 as rational number because in can be written as 101/1000; 101 and 1000 are integers. Bookmarks us now if our content about 0.101 as a fraction has been helpful to you. Note that we have already changed many decimal numbers to fraction.

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