2024 AMC 8 Problem 2

Attempt Problem 2 of the 2024 AMC 8 below, then check your answer against the video solution and professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2024 AMC 8 solutions, or check the answer key.

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2.

What is the value of this expression in decimal form? 4411+11044+441100 \frac{44}{11} + \frac{110}{44} + \frac{44}{1100}
6.46.4
6.5046.504
6.546.54
6.96.9
6.946.94
Answer: C
Concepts:fractiondecimal
Small hint:
Simplify each fraction first
Big hint:
4411=4\frac{44}{11}=4, 11044=2.5\frac{110}{44}=2.5, and 441100=0.04\frac{44}{1100}=0.04
Video solution:
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Written solution:
We can simplify the fractions by taking out the common factor 1111: 4411 \dfrac{44}{11} simplifies to 4 4 , 11044 \dfrac{110}{44} simplifies to 104=52=2.5 \dfrac{10}{4} = \dfrac{5}{2} = 2.5 , and 441100 \dfrac{44}{1100} simplifies to 4100=0.04 \dfrac{4}{100} = 0.04 . Therefore, we have 4+2.5+0.04=6.54. 4 + 2.5 + 0.04 = 6.54.
Thus, C is the correct answer.
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