+1247 Find the value of
\cfrac{1}{1 + \cfrac{1}{4 + \cfrac{1}{4 + \cfrac{1}{2}}}}.
+1612 This expression is a nested fraction. We can simplify it by working our way from the innermost level outward.
Innermost Level:
21=0.5
Second Level:
4+0.51=4.51=92
Third Level:
4+921=936+21=9381=389
Outermost Level:
1+3891=3838+91=38471=4738
Therefore, the value of the expression is 4738.
