+0  
 
0
2
1
avatar+955 

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

 Jan 4, 2024
 #1
avatar+126665 
+1

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

 

Work 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

 Jan 5, 2024

5 Online Users

avatar
avatar
avatar