Repeating Decimals .393939393939393939393939

Example: Write as a fraction Method 1 First, we need to find r…

First, Find the common ratio r…

Now use r and a1 in the series formula

Example: Write as a fraction Method 2 Divide the decimal by a series of 9’s…

Beware!!… If you use the easy method, beware of the following type of problem…. You have to think harder…

“11-5 Study Guide and Intervention” Classwork: “11-5 Study Guide and Intervention” page 36

The part that repeats is 45 (454545….) So we divide the 45 by 99. But this gives us .454545… We want .2454545…. We need to divide by 10 to open the tens decimal space Then add in the .2 