how do you make a repeating decimal like this shorter?

Question

i know that when the number after the decimal repeats you have to put a line over it to state it is repeating, but what if its like this?

0.26666667

what do you do with the 7 at the end??
help

Answer 1

The seven at the end is almost certainly the rounding up of the last six of the calculation.

Therefore, to most accurately characterize the number, you simply write:

0.26 with a bar over the six.

Answer 2

Well, strictly speaking you do nothing. This is a terminating decimal, representing a quantity of exactly 26,666,667 / 100,000,000. So it can't be simplified in any way.

Now, a decimal like this _may_ be obtained by rounding a decimal such as 0.2[6] (where I am using brackets to indicate a repeating decimal -- i.e. 0.2[6] = 0.26666666... ). In which case, presenting the original repeating decimal using vinculum notation would be shorter than this. Or if rounding is allowed, you could try rounding 0.26666667 down to 8/30. But if 0.26666667 is the exact decimal and you need the exact representation, there's nothing you can do to make it shorter.

Answer 3

when your calculator shows the 7 at the end, it just means that it rounded the 6 to a 7.

ie. 0.266666666666 <~ that is rounded to:
0.26666666667

so just use the bar over the 6

Answer 4

since it has a 7 at the end, you would round the number to 0.267

If it was a number like 0.333333333333333333

You would underline the 3 on top like....

..._
0.3