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

 Dec 6, 2024
 #1
avatar+130081 
+1

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

 

Work from bottom  to  top

 

4 + 1/2 = 9/2

1/ (9/2)  = 2/9

 

4 + 2/9  = 38/9

1/(38/9) = 9/38

 

1 + 9/38  = 47/38

1/(47/38) = 38 / 47

 

cool cool cool

 Dec 6, 2024

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