Question

give an example of a repeating decimal where two digits repeat.explain why your number is a rational number.

Answer 1

2/3 because the number always divides by the same same number with the same remainder

Answer 2

an example is 21/99 or 7/33 which is equal to 0.212121...
the repeating digis are 21


a rational number can be written in form a/b where a and b are integers and b≠0


so
7/33
7 and 33 are integers
33≠0

and 7/33=0.21212121....

so 0.21212121 is a rational number which can be written as 7/33