how do u change this decimal inot a fraction: .66666?

Answer 1

"Wow... some of you aren't paying attention. Look at the ellipses that DON'T appear after the decimal... this is a terminating decimal, not a repeating one. And the value is 66,666/100,000 which reduces to 33,333/50,000. Kyrix got it right. "

If somebody doesn't know how to convert a simple decimal into a fraction, what are the chances that they know enough to add ellipses to signify a non-terminating decimal expansion? My vote is slim-to-none.

Answer 2

There is a mathematical equation.
First you need a infinite geometrical row (don't know the exact name in English).
for .6666 it would be:

6/10+6/100+6/1000 or
a1 + a1q + a1 sqr q + ...

then you need to calculate q (1/10 in this case) and use it in the next equation:
a1 / (1 - q) su it when you exchange the symbols

(6/10) / (1 -1/10) = 6/10 / 9/10= 2/3

That's it. Simple huh? This better be the best answer, lots of work. Just love to help people.

edit. tought it was an infinite decimal, in this case the answer would be 66666/100000

Answer 3

Wow... some of you aren't paying attention. Look at the ellipses that DON'T appear after the decimal... this is a terminating decimal, not a repeating one. And the value is 66,666/100,000 which reduces to 33,333/50,000. Kyrix got it right.

A_liberal_economist: point taken, but I would argue that anyone who doesn't know how to convert a decimal into a fraction is likely copying this question from a homework assignment, in which case it would not be the person who is asking the question who generated the decimal, but a math teacher who _does_ know how to convert a decimal into a fraction and, if she is anything like my old math teachers, probably put a terminating decimal that "looks like" a repeating decimal into the problem set to catch students that aren't paying attention to the problem. That's why I always answer the question asked, not the question I think the questioner meant to ask, because as far as I know the questioner is faithfully reproducing a deliberate trick question.

Answer 4

The proper fraction for this decimal is 66666 / 100000, which reduces to 33333 / 50000.

2 / 3 is the corresponding fraction for 0.666666666666..., with 6 repeating infinitely.

Answer 5

2/3

Answer 6

2/3

Answer 7

no need. .66666 is already a fraction over 100000. Unless you want to write it the long way, 66666/100000. Otherwise the answer is 2/3.

Answer 8

Assuming you mean a REPEATING decimal, this is a trick you learn in algebra. You start with an equation:

x = 0.66666.....

You multiply both sides by 10, so you get

10x = 6.66666....

You subtract the first equation from the 2nd one:

(10x - x) = (6.666.... - 0.666....)

which is the same as

9x = 6

Therefore, x = 6/9 or x = 2/3.

Answer 9

.66666 (if it's not a repeating decimal; .66666 repeating equals 2 over 3) is 66666 hundred-thousandths. Thus, it would be 66666 over 100000.

Answer 10

If the decimal repeats, the math method is this:

Let x = .666666...
Then 10x = 6.666666...

10x - x = 6.6666... - .6666... = 9x = 6

x = 6/9 or 2/3

If it is not repeating, just put 100 000 under it.