We notice that a lot of terms can be canceled. In fact, every term in the numerator except for the $$1$$ and every term in the denominator except for the $$4$$ will be canceled out, so the answer is $$\frac 1{4}$$. 
The result of $\frac12\times \frac23\times \frac34$ is~\uline{~~~~~~~~~~}~. 

(a) $$\frac 1{3}$$ 
(b) $$\frac 14$$ 
(c) $$\frac 12$$ 
(d) $$\frac {3}{4}$$ 
(e) $$\frac {1}{8}$$ 