Repeated decimals can be written as an infinite geometric series to convert them to a fraction. consider the repeating decimal below.
0.232323… = 0.23 + 0.23(0.01) + 0.23(0.01)2 + …
what is a1?
what is r?

and .

Step-by-step explanation:

It is given that Repeated decimals can be written as an infinite geometric series to help convert them to a fraction.  

Consider the repeating decimal below.

We need to find the value of .

is the first term of the series. So,

is the common ratio of the series. So,

Therefore, and .

cheater

step-by-step explanation: