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!
Original price was: $16.99.$11.99Current price is: $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:
\(\frac{512}{1024} +\frac{ 256}{1024} + \frac{128}{1024} + … + \frac{2}{1024} + \frac{1}{1024} =\)
\(\frac{512 + 256 + 128 + 64 + 32 + 16 + 8 + 4 + 2 + 1 }{1024} =\frac{1023}{1024}\)The Best Books to Ace Algebra
Original price was: $29.99.$14.99Current price is: $14.99.Original price was: $29.99.$14.99Current price is: $14.99.Satisfied 1 StudentsOriginal price was: $24.99.$14.99Current price is: $14.99.Satisfied 92 StudentsOriginal price was: $24.99.$15.99Current price is: $15.99.Satisfied 125 Students
Related to This Article
More math articles
- How to Find the Number of Solutions in a System of Equations?
- Reveal the Secrets: “TSI Math for Beginners” Detailed Solution Manual
- Best Tablet For Math Note Taking
- A Comprehensive Guide to the SAT Test in 2024
- 8th Grade MCAS Math Practice Test Questions
- How to Calculate the Area of Trapezoids? (+FREE Worksheet!)
- 8th Grade Georgia Milestones Assessment System Math Practice Test Questions
- Which Test Is Better for You; GED, TASC, or HiSET? Find Out Now
- The Ultimate 7th Grade NDSA Math Course (+FREE Worksheets)
- 8th Grade New York State Assessments Math Worksheets: FREE & Printable
What people say about "Intelligent Math Puzzle – Challenge 84 - Effortless Math: We Help Students Learn to LOVE Mathematics"?
No one replied yet.