2024 AMC 8 Problems/Problem 3

Revision as of 12:01, 26 January 2024 by Dreamer1297 (talk | contribs) (Solution 1)

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 \[\frac{200}{50}+\frac{125}{50}+\frac{2}{50}\] \[= \frac{200+125+2}{50}\] \[= \frac{327}{50}\] \[= \frac{654}{100}\] \[= \boxed{(C) 6.54}\]

~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

Video Solution 1 (easy to digest) by Power Solve

https://youtu.be/HE7JjZQ6xCk?si=39xd5CKI9nx-7lyV&t=118