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Chapter 0: Problem 141

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.

Short Answer

Expert verified
The fraction that represents the amount that must still be obtained is \(\frac{1}{4}\).

Step by step solution

01

Calculate the gathered parts

First, calculate the gathered parts Dr. Frankenstein had already by solving the equation \(2^{-1} + 2^{-2}\). We know that \(2^{-1}\) equals to 0.5 and \(2^{-2}\) equals to 0.25. So \(2^{-1} + 2^{-2} = 0.5 + 0.25 = 0.75\)
02

Calculate the remaining parts

Since a whole creature is represented by 1, we get the missing parts by subtracting what Dr. Frankenstein has already gathered from 1. This can be written as \(1 - 0.75 = 0.25\).
03

Convert to Fraction

The final step is to express the remaining part as a fraction. The decimal 0.25 can be written as \(\frac{1}{4}\) as a fraction.

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