# Intelligent Math Puzzle – Challenge 84

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?
$$\frac{1}{2} + \frac{1}{4} + \frac{1}{8} + \frac{1}{16} + … + \frac{1}{512} + \frac{1}{1024} =$$

$11.99 Satisfied 123 Students 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: $$\frac{512}{1024} +\frac{ 256}{1024} + \frac{128}{1024} + … + \frac{2}{1024} + \frac{1}{1024} =$$ $$\frac{512 + 256 + 128 + 64 + 32 + 16 + 8 + 4 + 2 + 1 }{1024} =\frac{1023}{1024}$$ ### More math articles ### What people say about "Intelligent Math Puzzle - Challenge 84"? No one replied yet. X 30% OFF Limited time only! Save Over 30% SAVE$5

It was $16.99 now it is$11.99