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Compute
4 + \cfrac{1}{4 + \cfrac{1}{4 + \cfrac{1}{4}}}}

 Jul 27, 2024
 #1
avatar+129845 
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\(4+ { \cfrac{1}{4 + \cfrac{1}{4 + \cfrac{1}{4}}}} \)

 

 

Work from the bottom-up

 

4 + 1/4 =  17/4

 

1/(17/4) = 4/17

 

4 + 4/17  = 72/17

 

1/(72/17)  = 17/72

 

4 + 17/72  =  305 / 72

 

cool cool cool

 Jul 28, 2024

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