Find the value of \cfrac{1}{1 + \cfrac{1}{4 + \cfrac{1}{4 + \cfrac{1}{2}}}}.
11+14+14+12.=3847
11+14+14+12
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
+921 
