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Problem 130

Algebra Difficulty 1.1 Multiple choice CEMC Pascal · Canada · 2022

The value of $\dfrac{1}{2}+\dfrac{2}{4}+\dfrac{4}{8}+\dfrac{8}{16}$
is

Pick one

Official solution

In the given sum, each of the four fractions is equivalent to
$\dfrac{1}{2}$ .

Therefore, the given sum is equal to $\dfrac{1}{2} + \dfrac{1}{2} + \dfrac{1}{2} + \dfrac{1}{2} = 2$ .

Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty, ordering) added by this project.