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Express as a fraction in lowest terms: \(0.\overline{1} + 0.\overline{01}\)

 Nov 25, 2020
 #1
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0

 

                                         1  

0.111111111 forever   =   –––  

                                         9  

 

                                        10  

0.01010101 forever   =   –––  

                                        99

 

Find a common denominator                    1           11  

and add the two together                        –––   =   –––  

                                                                 9           99  

 

 

                     11        10        21                                   7  

                    –––  +  –––  =  –––   which reduces to   –––  

                     99        99        99                                  33  

.

 Nov 26, 2020
 #2
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+1

0.1111111111111 = 1 / 9

0.0101010101  = 1 / 99

 

[1 /9  +  1 /99] = 12 / 99 = 4 / 33

 Nov 26, 2020
 #3
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+1

 

I'm mortified.  It's bad enough that I made a mistake, but inexcusable that I gave mistaken advice. 

 

10/99 is 0.10101010 not 0.01010101.  What's that ailment where you see things backwards? 

 

Thanks for catching my mistake. 

.

Guest Nov 26, 2020
 #4
avatar+2148 
+1

Hi Ron, the word you are looking for is Dyslexia.

Here’s a very funny comment from Nauseated...LOL

And a related troll post thread

 

 

GA

GingerAle  Nov 26, 2020
 #5
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0

 

That post from Nauseated was funny! 

Do you know what the dyslexic rabbi said?  YO

I liked the troll post too. 

 

Goodnight, Gracie. 

.

Guest Nov 26, 2020

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