Find the value of \cfrac{1}{1 + \cfrac{1}{4 + \cfrac{1}{4 + \cfrac{1}{2}}}}.
\(\cfrac{1}{1 + \cfrac{1}{4 + \cfrac{1}{4 + \cfrac{1}{2}}}}.\)
Workng from the bottom-up
4 + 1/2 = 9/2
4 + 1/ (9/2) = 4 + 2/9 = (38/9)
1 + 1/(38/9) = 1 + 9/38 = 47/38
1 / (47/38) =
38 / 47
+219 
