AMC8 2024

AMC8 2024 · Q2

AMC8 2024 · Q2. It mainly tests Fractions, Decimals.

What is the value of this expression in decimal form? $\frac{44}{11}+\frac{110}{44}+\frac{44}{1100}$

这个表达式的十进制值是多少？ $\frac{44}{11}+\frac{110}{44}+\frac{44}{1100}$

(A) 6.4 6.4

(B) 6.504 6.504

(D) 6.9 6.9

(E) 6.94 6.94

Answer

Correct choice: (C)

正确答案：（C）

Solution

We see that $\frac{44}{11}$ is $4$; $\frac{110}{44}$ simplifies to $\frac{5}{2}$, which is $2.5$; and $\frac{44}{1100}$ simplifies to $\frac{1}{25}$, which is $0.04$; $4+2.5+0.04$ reveals \[\frac{44}{11} + \frac{110}{44} + \frac{44}{1100}\] is $\boxed{\text{(C) 6.54}}$.

我们看到 $\frac{44}{11}$ 是 $4$； $\frac{110}{44}$ 化简为 $\frac{5}{2}$，即 $2.5$； $\frac{44}{1100}$ 化简为 $\frac{1}{25}$，即 $0.04$； $4+2.5+0.04$ 表明 \[\frac{44}{11} + \frac{110}{44} + \frac{44}{1100}\] 是 $\boxed{\text{(C) 6.54}}$。

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