Difference between revisions of "2024 AMC 8 Problems/Problem 3"
Dreamer1297 (talk | contribs) m (→Solution 1) |
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<cmath>= \frac{327}{50}</cmath> | <cmath>= \frac{327}{50}</cmath> | ||
<cmath>= \frac{654}{100}</cmath> | <cmath>= \frac{654}{100}</cmath> | ||
| − | <cmath>= \boxed{6.54}</cmath> | + | <cmath>= \boxed{(C) 6.54}</cmath> |
~Dreamer1297 | ~Dreamer1297 | ||
Revision as of 12:01, 26 January 2024
Problem
What is the value of 
?
Solution 1
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)
![\[= \boxed{(C) 6.54}\]](http://latex.artofproblemsolving.com/6/7/a/67a7bb4d3a65fa8a719df2552a3acf51f6d8ec1a.png)
~Dreamer1297
Solution 2
We convert each of the fractions to 
. After adding up the values, we get 
.
-ILoveMath31415926535
