Intelligent Math Puzzle – Challenge 85
Sharing this great and fun math and critical thinking puzzle with students is the best way to get them thinking mathematically.
Challenge:
There are 4 fractions in the figure above with the same difference. What is the sum of all fractions?
A-\(\frac{1}{126}\)
B- \(\frac{7}{33}\)
C- \(\frac{13}{42}\)
D- \(\frac{10}{66}\)
E- \(\frac{13}{21}\)
The Absolute Best Book to Challenge Your Smart Student!
The correct answer is E.
There are four fractions with the same difference. First, we need to find the missing fractions.
The difference of \(\frac{1}{7}\) and \(\frac{1}{6}\) is:
\(\frac{1}{6} – \frac{1}{7}/7 = \frac{7-6}{42} = \frac{1}{42}\)
The difference of \(\frac{1}{7}\) and the first fraction is:
\(\frac{1}{42} ÷3 = \frac{1}{126}\)
The first missing fraction is:
\(\frac{1}{7} + \frac{1}{126}= \frac{18+1}{126} = \frac{19}{126}\)
The second missing fraction is:
\(\frac{19}{126} + \frac{1}{126}= \frac{20}{126}\)
The sum of all fractions equals:
\(\frac{1}{7} + \frac{19}{126}+ \frac{20}{126} + \frac{1}{6} = \frac{18}{126}+ \frac{19}{126} + \frac{20}{126} + \frac{21}{126} = \frac{78}{126} = \frac{13}{21}\)
The Best Books to Ace Algebra
Related to This Article
More math articles
- The Ultimate NDSA Algebra 1 Course (+FREE Worksheets)
- The Ultimate GED Math Course [Updated for 2024]
- Why Learning Styles are a Myth?
- Vector-Valued Functions: Fundamentals and Applications
- How to Master Polar Coordinates: A Comprehensive Guide to Calculating Rate of Change in Polar Functions
- How to Decode the Mysteries: A Comprehensive Solution Guide for “FTCE Math for Beginners”
- Customary Unit Conversions Involving Mixed Numbers and Fractions
- How to Do Division Using Repeated Subtraction
- How to Solve Word Problems Involving One-step Inequalities?
- Top 5 Graphing Calculators for Physics
What people say about "Intelligent Math Puzzle – Challenge 85 - Effortless Math: We Help Students Learn to LOVE Mathematics"?
No one replied yet.