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

 Feb 23, 2024
 #1
avatar+14943 
+1

\(\cfrac{1}{1 + \cfrac{1}{4 + \cfrac{1}{1 + \cfrac{1}{4}}}}.\\ =\cfrac{1}{1 + \cfrac{1}{4 + \cfrac{4}{5}}}\\ =\cfrac{1}{1 + \cfrac{5}{24 }}\\ \color{blue}=\cfrac{24}{29}\)

 

laugh !

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 Feb 23, 2024

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