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Find the value of
\cfrac{1}{1 + \cfrac{1}{4 + \cfrac{1}{4 + \cfrac{1}{2}}}}.

 Jun 5, 2024
 #1
avatar+129399 
+1

\(\cfrac{1}{1 + \cfrac{1}{4 + \cfrac{1}{4 + \cfrac{1}{2}}}}.\)

 

 

Workng from the bottom-up

 

4 + 1/2  =  9/2

 

4 + 1/ (9/2)  =   4 + 2/9  =  (38/9)

 

1 + 1/(38/9)  =    1 + 9/38  = 47/38

 

1 / (47/38)  =   

 

38 / 47

 

cool cool cool

 Jun 5, 2024

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