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?
\(\frac{1}{2} + \frac{1}{4} + \frac{1}{8} + \frac{1}{16} + … + \frac{1}{512} + \frac{1}{1024} =\)
The Absolute Best Book to Challenge Your Smart Student!

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
$14.99Satisfied 1 Students$14.99Satisfied 92 Students$15.99Satisfied 125 Students
Related to This Article
More math articles
- 6th Grade North Carolina End-of-Grade Math Worksheets: FREE & Printable
- The Ultimate ISEE Upper-Level Math Course (+FREE Worksheets & Tests)
- How to Understand Convergent and Divergent Series
- FREE Pre-Algebra Math Practice Test
- Using Number Lines to Represent Decimals
- GED Math Question Types
- SAT Math Vs. High School Math
- Identifying the Titles of Place Value
- Grid Magic: How to Complete Decimal Multiplication Sentences
- Geometry Puzzle – Challenge 71
What people say about "Intelligent Math Puzzle – Challenge 84 - Effortless Math: We Help Students Learn to LOVE Mathematics"?
No one replied yet.