+0  
 
0
7
1
avatar+1123 

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

 Dec 14, 2023
edited by sandwich  Dec 14, 2023
 #1
avatar+126978 
+1

4 + 1/4 =  17/4

 

4 + 4/17  =  72/17

 

4 + 17/72  = 305/72

 

1 + 72 / 305  =  377/305

 

1/ [ 377/305] =   305 / 377

 

cool cool cool

 Dec 14, 2023

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