Problem 108
Question
The mad Dr. Frankenstein has gathered enough bits and pieces (so to speak) for \(2^{-1}+2^{-2}\) of his creature-to-be. Write a fraction that represents the amount of his creature that must still be obtained.
Step-by-Step Solution
Verified Answer
The amount of the creature that Dr. Frankenstein still needs to gather is \(1/4\).
1Step 1: Converting to Fractions
Firstly, convert \(2^{-1}\) and \(2^{-2}\) to fractions. This will give \(1/2\) and \(1/4\) respectively.
2Step 2: Adding the Fractions Together
Next, add the fractions together. The combined fraction Dr. Frankenstein has already gathered is \(1/2 + 1/4\) which equals \(3/4\).
3Step 3: Subtracting from 1
Now, subtract \(3/4\) from 1 to determine the amount of the creature still to be gathered. This means \(1-3/4 = 1/4\).
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