how do you get 2/ 9 as a repeating decimal

Question

what is 2/9 as a repeating decimal ?

Answer 1

     0.222

9 | 2.0000

     18

       20

       18

         20

         18

          2

Answer 2

write 2/9 as a repeating decimal

divide 9 into 2 until you clearly see what repeats

    

     0.  2  2  2  2 . . .

    ____________

  9l 2.  0  0  0  0

      1   8

    _____

           2  0

           1  8

          _____

               2  0

               1  8

          _______

                   2  0

                   1  8

          _________

                       2

 

by the way, whenever you have 9 as the denominator, the numerator is what repeats

 

1/9=0.111...

2/9=0.222...

3/9=0.333...

4/9=0.444...

5/9=0.555...

6/9=0.666...

7/9=0.777...

8/9=0.888...

9/9=0.999...=1, which is one of the oddities of mathematics; a repeating decimal equals a whole number