Find the value of \cfrac{1}{1 + \cfrac{1}{4 + \cfrac{1}{1 + \cfrac{1}{4}}}}.
\(\cfrac{1}{1 + \cfrac{1}{4 + \cfrac{1}{1 + \cfrac{1}{4}}}}. \)
we simply 1+1/4 first which is 5/4
then 1/(5/4)=4/5
now 4+4/5=24/5
1/(24/5)=5/24
1+5/24=29/24
1/(29/24)=24/29
\(\cfrac{24}{29}\)
+1855 
