Intelligent Math Puzzle – Challenge 84
Intelligent Math Puzzle - Challenge 84 is a multiple-choice math challenge from Effortless Math. Read the problem, choose from the answer options below, then open the solution to see the full step-by-step working and check your reasoning against it.
This math challenge requires basic math knowledge and some kind of logic and creative thinking to solve. Let’s challenge your brain!
Challenge:
What is the sum of all fractions?
(frac{1}{2} + frac{1}{4} + frac{1}{8} + frac{1}{16} + … + frac{1}{512} + frac{1}{1024} =)
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The correct answer is (frac{1023}{1024}).
(frac{1}{2} + frac{1}{4} + frac{1}{8} + frac{1}{16} + … + frac{1}{512} + frac{1}{1024} =)
To add the fractions, we need to find the common denominator.
The common denominator is 1024. Therefore:
(frac{512}{1024} +frac{ 256}{1024} + frac{128}{1024} + … + frac{2}{1024} + frac{1}{1024} =)
(frac{512 + 256 + 128 + 64 + 32 + 16 + 8 + 4 + 2 + 1 }{1024} =frac{1023}{1024})The Best Books to Ace Algebra
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