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
- FREE CLEP College Algebra Practice Test
- How to Use Place Value Blocks to Compare Decimals
- Introduction to Matrix Inverse
- Essential Calculator Tools You Didn’t Know You Needed
- 5th Grade SBAC Math Practice Test Questions
- How to Find the Surface Area of Pyramid?
- Take GED Test Online for Free
- How to Find Transformation: Rotations, Reflections, and Translations?
- 10 Most Common 8th Grade STAAR Math Questions
- What Kind of Math Is on the ACT Test?
What people say about "Intelligent Math Puzzle – Challenge 85 - Effortless Math: We Help Students Learn to LOVE Mathematics"?
No one replied yet.