Art of Problem Solving
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2024 AMC 8 Problems/Problem 3: Difference between revisions

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~Dreamer1297
~Dreamer1297
==Solution 2==
We convert each of the fractions to <math>4+2.5+0.04</math>. After adding up the values, we get <math>\boxed{6.54}</math>.
-ILoveMath31415926535

Revision as of 14:59, 25 January 2024

Problem

What is the value of $\frac{44}{11}+\frac{110}{44}+\frac{44}{1100}$?

Solution 1

We can simplify this expression into $4+\frac{5}{2}+\frac{1}{25}$. Now, taking the common denominator, we get \[\frac{200}{50}+\frac{125}{50}+\frac{2}{50}\] \[= \frac{200+125+2}{50}\] \[= \frac{327}{50}\] \[= \frac{654}{100}\] \[= \boxed{6.54}\]

~Dreamer1297

Solution 2

We convert each of the fractions to $4+2.5+0.04$. After adding up the values, we get $\boxed{6.54}$.

-ILoveMath31415926535