2024 AMC 8 Problema 2

Question

¿Cuál es el valor de esta expresión en forma decimal?

\frac{44}{11} + \frac{110}{44} + \frac{44}{1100}

What is the value of this expression in decimal form?

\frac{44}{11} + \frac{110}{44} + \frac{44}{1100}

6.4

6.504

6.54

6.9

6.94

Simplifica primero cada fracción

Simplify each fraction first

\frac{44}{11}=4

,

\frac{110}{44}=2.5

y

\frac{44}{1100}=0.04

\frac{44}{11}=4

,

\frac{110}{44}=2.5

, and

\frac{44}{1100}=0.04

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Podemos simplificar las fracciones sacando el factor común

11

:

\dfrac{44}{11}

se simplifica a

4

,

\dfrac{110}{44}

se simplifica a

\dfrac{10}{4} = \dfrac{5}{2} = 2.5

, y

\dfrac{44}{1100}

se simplifica a

\dfrac{4}{100} = 0.04

. Por lo tanto, tenemos

4 + 2.5 + 0.04 = 6.54.

Por lo tanto, C es la respuesta correcta.

We can simplify the fractions by taking out the common factor

11

:

\dfrac{44}{11}

simplifies to

4

,

\dfrac{110}{44}

simplifies to

\dfrac{10}{4} = \dfrac{5}{2} = 2.5

, and

\dfrac{44}{1100}

simplifies to

\dfrac{4}{100} = 0.04

. Therefore, we have

4 + 2.5 + 0.04 = 6.54.

Thus, C is the correct answer.

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