Difference between revisions of "2024 AMC 8 Problems/Problem 2"
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For this problem, a lot of people struggle to immediately think of this solution, and instead try to make all denominators the same which wastes a lot of time. | For this problem, a lot of people struggle to immediately think of this solution, and instead try to make all denominators the same which wastes a lot of time. | ||
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~MrThinker ~ Nivaar | ~MrThinker ~ Nivaar | ||
Revision as of 19:38, 6 February 2024
Contents
- 1 Problem
- 2 Solution 1
- 3 Solution 2
- 4 Solution 3
- 5 Solution 4(fastest)
- 6 Video Solution 1 (easy to digest) by Power Solve
- 7 Video Solution by Math-X (First fully understand the problem!!!)
- 8 Video Solution by NiuniuMaths (Easy to understand!)
- 9 Video Solution 2 by SpreadTheMathLove
- 10 Video Solution by CosineMethod [🔥Fast and Easy🔥]
- 11 Video Solution by Interstigation
- 12 See Also
Problem
What is the value of the expression in decimal form?
![\[\frac{44}{11}+\frac{110}{44}+\frac{44}{1100}\]](http://latex.artofproblemsolving.com/a/0/2/a0239bc45b6cb760f0c8d1681b07160160efa56c.png)
Solution 1
We see 
, 
, and 
. Thus, 
For this problem, a lot of people struggle to immediately think of this solution, and instead try to make all denominators the same which wastes a lot of time.
~MrThinker ~ Nivaar
Solution 2
We can simplify this expression into 
. Now, taking the common denominator, we get ![\[\frac{200}{50}+\frac{125}{50}+\frac{2}{50}\]](http://latex.artofproblemsolving.com/f/a/f/fafe7fec668c75cd9b9f12bf444aec1e6c167719.png)
![\[= \frac{200+125+2}{50}\]](http://latex.artofproblemsolving.com/a/0/3/a03873103972cbf654a34dfd7bcf97b5db9413e1.png)
![\[= \frac{327}{50}\]](http://latex.artofproblemsolving.com/8/8/b/88b748fc048fd4ff8456c910e852f3e485a9832a.png)
![\[= \frac{654}{100}\]](http://latex.artofproblemsolving.com/b/e/f/bef73b25eb9085283b60990d080efe56451865ec.png)
![\[= \boxed{\textbf{(C) }6.54}\]](http://latex.artofproblemsolving.com/a/2/4/a2435d588ba21f0e8429dc29067aafe587a8ec58.png)
~Dreamer1297
Solution 3
Convert all of them into the same demoninator of 
. We have 
~andliu766
Solution 4(fastest)
Use 4400 as the common denominator.
-thebanker88
Video Solution 1 (easy to digest) by Power Solve
https://www.youtube.com/watch?v=dQw4w9WgXcQ
Video Solution by Math-X (First fully understand the problem!!!)
https://www.youtube.com/watch?v=dQw4w9WgXcQ ~Rick Atsley
Note: thiss link was made by @iamatinychildwhoisincapableofdoinganything,existentornonexistent
Video Solution by NiuniuMaths (Easy to understand!)
https://www.youtube.com/watch?v=dQw4w9WgXcQ
~NiuniuMaths
Video Solution 2 by SpreadTheMathLove
https://www.youtube.com/watch?v=dQw4w9WgXcQ
Video Solution by CosineMethod [🔥Fast and Easy🔥]
https://www.youtube.com/watch?v=dQw4w9WgXcQ
Video Solution by Interstigation
https://youtu.be/ktzijuZtDas&t=108
See Also
| 2024 AMC 8 (Problems • Answer Key • Resources) | ||
| Preceded by Problem 1 |
Followed by Problem 3 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | ||
| All AJHSME/AMC 8 Problems and Solutions | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
