Compute 4 + \cfrac{1}{4 + \cfrac{1}{4 + \cfrac{1}{4}}}}
\(4+ { \cfrac{1}{4 + \cfrac{1}{4 + \cfrac{1}{4}}}} \)
Work from the bottom-up
4 + 1/4 = 17/4
1/(17/4) = 4/17
4 + 4/17 = 72/17
1/(72/17) = 17/72
4 + 17/72 = 305 / 72