Find the value of \cfrac{1}{1 + \cfrac{1}{4 + \cfrac{1}{4 + \cfrac{1}{2}}}}.
\(\cfrac{1}{1 + \cfrac{1}{4 + \cfrac{1}{4 + \cfrac{1}{2}}}}.=\cfrac{38}{47}\)
\(\cfrac{1}{1 + \cfrac{1}{4 + \cfrac{1}{4 + \cfrac{1}{2}}}} \)
Working 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
+760 
0 
