Question

Convert the following repeating decimal to a/b form, whrer a, b are integers and b is not = 0

-0.02 there is a line over the 2 but I didn't know how to put that in. Also, this is not a negetive. The line should be raised also.

Answer 1

it must be 0.022222222..... that is 2 recurring

Answer 2

let x be 0.02....
then 100x = 2.222....
10x =0.22222

90x = 2.222222 - 0.2222.. = 2
so x = 2/90 = 1/45

Answer 3

what about -2.34, again not a negative and there should be a line over the 4

Answer 4

use similar procedure
deal with the decimal part 0.34444....
this equals 0.3 + 0.0444....
= 3/10 + 2/45
= 27/90 + 4/90
= 31/90

so we get 2 31/90

Answer 5

Thank you so much, this really explained it for me!!