Plz explain me this in detail

Example : A Geometric Series for a Repeating Decimal Use a geometric series to write 0.08 as the ratio of two integers. Solution. For the repeating decimal 0.08, you can write 8 8 0.080808. 102 10 10 10 T 10 108 (1 10 10 For this series, you have a = 8/102 and r = 1/10. So. 8/10 1-1-(1/10) a 8 0.080808 99