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What is (0.030303...)/(0.003003003003...)? Express your answer as a mixed number.

 Feb 2, 2021
 #1
avatar+118470 
+1

.030303.....  =       (3  - 0)  / (99)     =   3/99  =   1/33

 

.003003..... =       (3 - 0)  / ( 999)  =  3/999 =   1/333

 

(1/33)   / ( 1/333)   =

 

333 / 33   =   111 / 11  =    10 + 1/11

 

 

cool cool cool

 Feb 2, 2021
 #2
avatar+267 
+2

this simplifies to 1/33/1/333

 

divide to get 333/33 = 10 3/33 = 10 1/11

 Feb 2, 2021

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