Here you can find **6.75 as a fraction**, both as decimal fraction and in simplest form. We show you how to convert 6.75 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 6.75 in fraction form or 6.75 repeating as a fraction, then you are right here, too.

6.75 has 2 decimal places, so we put the decimal digits of 6.75, 75, over 1 followed by the number of zeroes equal to the number of decimal places, 2: 75 = 75/100. We add 6 as 600/100 and get:

**decimal fraction**= 675/100

675 is the nominator and 100 is the denominator. We now check if the decimal fraction is already in the lowest terms by finding the greatest common factor of 675 and 100, know as gcf of 675 and 100.

The gcf(675,100) is 25, so we can conclude that 675/100 is not 6.75 as a fraction in simplest form. To obtain 6.75 as a fraction in simplest form we have to divide both, the nominator as well as denominator, by the gcf(675,100):

675/100 = \frac{\frac{675}{gcf(675,100)}}{\frac{100}{gcf(675,100)}} = \frac{\frac{675}{25}}{\frac{100}{25}} = \frac{27}{4}

We write 6.75 as a fraction in simplest form as 27/4.

**6.75 as a fraction in its lowest terms is 27/4**

Read on to learn everything about 6.75 as a fraction.

## What is 6.75 as a Fraction

We have already answered *what is 6.75 as a fraction* above for the cases 6.75 as decimal fraction and 6.75 as a fraction in simplest form.

Yet, by multiplying the denominator and the nominator of 6.75 as a fraction in simplest form with all integers distinct from zero and one we can generate an infinite amount of fractions equivalent to 27/4, but not in lowest terms:

27/4 = \frac{n x 27}{n x 4} n\thinspace\epsilon\thinspace \mathbb{Z}, n\neq 0.

For example, with n = 2 we obtain 54/8 and with n = -3 we get 81/12:

54/8 = 81/12 = 27/4.

We can thus conclude that the question What is 6.75 as a fraction? does not have a single answer, but an indefinite amount of possibilities.

## 6.75 Repeating as a Fraction

To find out what is 6.75… as a fraction, identify the repeating sequence or pattern, known as reptend or repetend of 6.75 recurring.

The infinitely-repeated digit sequence of 6.75… can be indicated by three periods. For example, 6.7555… as a fraction (repeating 5, the last digit) = 6 34/45 .

Alternatively, a vinculum, that is a horizontal line, can be drawn above the repetend of the fraction of 6.75. In addition, one can sometimes see the period enclosed in parentheses ().

Here, we use the overlined notation to denote 6.75 repeating as a fraction:

6.75 =6 34/45

6.75 =6 25/33

These results for 6.75 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 6.75 on the fly, just make sure to enter enough decimal digits in case your number contains repeating decimal places.

This brings us the end of our article. We are left with classifying 6.75 as rational number because in can be written as 675/100; 675 and 100 are integers.

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