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:
\(\frac{512}{1024} +\frac{ 256}{1024} + \frac{128}{1024} + … + \frac{2}{1024} + \frac{1}{1024} =\)
\(\frac{512 + 256 + 128 + 64 + 32 + 16 + 8 + 4 + 2 + 1 }{1024} =\frac{1023}{1024}\)
Reza is an experienced Math instructor and a test-prep expert who has been tutoring students since 2008. He has helped many students raise their standardized test scores--and attend the colleges of their dreams. He works with students individually and in group settings, he tutors both live and online Math courses and the Math portion of standardized tests. He provides an individualized custom learning plan and the personalized attention that makes a difference in how students view math.
More math articles
- TSI Math-Test Day Tips
- Repeating Decimals
- How to Find the Equation of a Regression Line and Interpret Regression Lines
- 3rd Grade RICAS Math Worksheets: FREE & Printable
- What time do SAT Scores Come out?
- Best Laptops For Online Math Teachers
- Number Properties Puzzle -Critical Thinking 2
- 3rd Grade Common Core Math Worksheets: FREE & Printable
- CLEP College Algebra Worksheets: FREE & Printable
- FREE ACT Math Practice Test
What people say about "Intelligent Math Puzzle - Challenge 84"?
No one replied yet.