Let . When is written out as a repeating decimal, what is the sum of the digits in a single repeating period? (In other words, what is the sum of the digits covered by the repeat bar?)

Guest May 24, 2018

#1**+1 **

Let \(y=(0.\overline{12})+(0.\overline{345})\).

When y is written out as a repeating decimal, what is the sum of the digits in a single repeating period? (In other words, what is the sum of the digits covered by the repeat bar?)

Let t = 0.1212121212........

then 100t= 12.12121212.....

100t - t = 12

99t=12

t= 12/99

0.1212121212... = 12/99

Now do the same thing with 0.345345345.....

only since there are 3 digits repeating you will have to multiply by 1000.

Now if you understand what i have written you can finish it yourself.

Melody May 24, 2018