Answer
The fraction is \[\frac{3}{4}\].
Work Step by Step
Number of bits and pieces of Dr. Frankenstein’screature that must still be obtained is:
\[\begin{align}
& {{2}^{-1}}+{{2}^{-2}}=\frac{1}{2}+\frac{1}{{{2}^{2}}} \\
& =\frac{1}{2}+\frac{1}{4} \\
& =\frac{3}{4}
\end{align}\]