Difference between revisions of "2024 AMC 8 Problems/Problem 3"
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What is the value of <math>\frac{44}{11}+\frac{110}{44}+\frac{44}{1100}</math>? | What is the value of <math>\frac{44}{11}+\frac{110}{44}+\frac{44}{1100}</math>? | ||
| − | ==Solution== | + | ==Solution 1== |
| − | + | ||
| + | We can simplify this expression into <math>4+\frac{5}{2}+\frac{1}{25}</math>. Now, taking the common denominator, we get <cmath>\frac{200}{50}+\frac{125}{50}+\frac{2}{50}</cmath> | ||
| + | <cmath>= \frac{200+125+2}{50}</cmath> | ||
| + | <cmath>= \frac{327}{50}</cmath> | ||
| + | <cmath>= \frac{654}{100}</cmath> | ||
| + | <cmath>= \boxed{6.54}</cmath> | ||
| + | |||
| + | ~Dreamer1297 | ||
Revision as of 14:22, 25 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)
![\[= \boxed{6.54}\]](http://latex.artofproblemsolving.com/1/f/5/1f5efc23007e44ab233b105a7d180f2b3cdbcbcb.png)
~Dreamer1297
