College

Calculate the following expression:

[tex]\[ 2 \cdot 35 \cdot \frac{2}{3} = \][/tex]

A. [tex]\(\frac{7}{30}\)[/tex]

B. [tex]\(\frac{7}{15}\)[/tex]

C. [tex]\(\frac{27}{30}\)[/tex]

D. 47

Answer :

We start by computing the product of the first two numbers:

[tex]$$
2 \times 35 = 70.
$$[/tex]

Next, we multiply this result by [tex]$\frac{2}{3}$[/tex]:

[tex]$$
70 \times \frac{2}{3} = \frac{140}{3} \approx 46.6667.
$$[/tex]

Since the answer choices include a whole number and [tex]$46.6667$[/tex] rounds to [tex]$47$[/tex], we round the result to the nearest whole number:

[tex]$$
\text{Rounded result} = 47.
$$[/tex]

Thus, the final answer is [tex]$\boxed{47}$[/tex].

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