# 66.6 as a Fraction

Here you can find 66.6 as a fraction, both as decimal fraction and in simplest form. We show you how to convert 66.6 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 66.6 in fraction form or 66.6 repeating as a fraction, then you are right here, too.

66.6 has 1 decimal place, so we put the decimal digit of 66.6, 6, over 1 followed by the number of zeroes equal to the number of decimal places, 1: 6 = 6/10. We add 66 as 660/10 and get:

66.6 as decimal fraction = 666/10

666 is the nominator and 10 is the denominator. We now check if the decimal fraction is already in the lowest terms by finding the greatest common factor of 666 and 10, know as gcf of 666 and 10.

The gcf(666,10) is 2, so we can conclude that 666/10 is not 66.6 as a fraction in simplest form. To obtain 66.6 as a fraction in simplest form we have to divide both, the nominator as well as denominator, by the gcf(666,10):

666/10 = $\frac{\frac{666}{gcf(666,10)}}{\frac{10}{gcf(666,10)}}$ = $\frac{\frac{666}{2}}{\frac{10}{2}}$ = $\frac{333}{5}$

We write 66.6 as a fraction in simplest form as 333/5.

66.6 as a fraction in its lowest terms is 333/5

## What is 66.6 as a Fraction

We have already answered what is 66.6 as a fraction above for the cases 66.6 as decimal fraction and 66.6 as a fraction in simplest form.

Yet, by multiplying the denominator and the nominator of 66.6 as a fraction in simplest form with all integers distinct from zero and one we can generate an infinite amount of fractions equivalent to 333/5, but not in lowest terms:

333/5 = $\frac{n\hspace{3px} x\hspace{3px} 333}{n\hspace{3px} x\hspace{3px} 5}$ $\hspace{3px} n \hspace{3px}\epsilon\hspace{3px}\mathbb{Z},\hspace{3px} n\neq 0$.

For example, with n = 2 we obtain 666/10 and with n = -3 we get 999/15:
666/10 = 999/15 = 333/5.

We can thus conclude that the question What is 66.6 as a fraction? does not have a single answer, but an indefinite amount of possibilities.

## 66.6 Repeating as a Fraction

To find out what is 66.6… as a fraction, identify the repeating sequence or pattern, known as reptend or repetend of 66.6 recurring.

The infinitely-repeated digit sequence of 66.6… can be indicated by three periods. For example, 66.666… as a fraction (repeating 6, the last digit) = 66 2/3 .

Alternatively, a vinculum, that is a horizontal line, can be drawn above the repetend of the fraction of 66.6. In addition, one can sometimes see the period enclosed in parentheses ().

Here, we use the overlined notation to denote 66.6 repeating as a fraction:

66.6 =66 2/3

These results for 66.6 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 66.6 on the fly, just make sure to enter enough decimal digits in case your number contains repeating decimal places.

Besides 66.6, similar decimals to fractions calculations on our site include:

This brings us the end of our article. We are left with classifying 66.6 as rational number because in can be written as 666/10; 666 and 10 are integers.

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