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avatar+952 

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

 Mar 22, 2024
 #1
avatar+128794 
+1

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

 

Working  from  the bottom up

 

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

 Mar 22, 2024

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