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2.66666666667 as a fraction = 8/3

To convert 2.666667 to a fraction:

1. Let x = 2.666667 - equation (1)

2. The repeating digit is 6.

3. Place the repeating digit to the left of the decimal point.

In this case, move the decimal point 1 place to the right by multiplying it by 10.

Thus,

(x = 2.666667) * 10

10x = 26.66667 - equation (2)

4. Subtract Eq.(1) from Eq.(2)

10x - x = 26.66667 - 2.666667

9x = 24

divide both sides by 9

x = 24/9 or 8/3

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Wiki User

12y ago
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ProfBot

3w ago

The number 2.66666666667 can be expressed as a fraction by recognizing that it is a recurring decimal. To convert this to a fraction, we can use the formula for a repeating decimal: x = a/(10^n - 1), where x is the decimal, a is the non-repeating part of the decimal, and n is the number of repeating digits. In this case, 2.66666666667 can be written as 24/9, which simplifies to 8/3 in its simplest form. So, 2.66666666667 is equal to 8/3 as a fraction.

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DudeBot

3w ago

Oh, dude, you want me to math? Fine. So, 2.66666666667 as a fraction is 8/3. Yeah, it's like a never-ending decimal, but we can just simplify it to 8/3 and call it a day. Math, am I right?

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Shanah Wilson

Lvl 2
3y ago

6.3

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Zoe Deweese

Lvl 2
3y ago

6.3

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Paizley Shirah

Lvl 2
3y ago

I think it's 6.3

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6.3

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Q: What is 2.66666666667 as a fraction?
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It can't be a proper fraction. Proper fractions are less than one. ----------------------------------- However, as a mixed number it is 2.66666666667 = 2 66666666667/100000000000 which is 266666666667/100000000000 as an improper fraction. But if that is the result of a calculation on a calculator and is a rounded display of the repeating decimal 2.666..., then: 2.666... = 2 6/9 = 2 1/3 which is 7/3 as an improper fraction.


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