# 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 AlgebraOriginal 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

- Top 10 5th Grade ACT Aspire Math Practice Questions
- How to Bisect an Angle Step-by-Step in Geometry
- How to Use a Protractor to Draw Angles
- 8th Grade WVGSA Math Worksheets: FREE & Printable
- Which Test Is Better for You; GED, TASC, or HiSET? Find Out Now
- Solve Equations
- How to Master Integrals
- 8th Grade ISASP Math Worksheets: FREE & Printable
- Introduction to Matrix Inverse
- Top 5 Free Websites for TExES Mathematics Preparation

## What people say about "Intelligent Math Puzzle – Challenge 84 - Effortless Math: We Help Students Learn to LOVE Mathematics"?

No one replied yet.