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Calculate the following expression:

[tex]\[ 2.35 \cdot \frac{2}{3} = \][/tex]

Choose the correct answer from the options below:

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

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

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

D. [tex]\(\frac{47}{30}\)[/tex]

Answer :

We first convert [tex]$2.35$[/tex] into a fraction. Note that
[tex]$$
2.35 = \frac{235}{100} = \frac{47}{20}.
$$[/tex]

Now, we multiply this fraction by [tex]$\frac{2}{3}$[/tex]:
[tex]$$
\frac{47}{20} \times \frac{2}{3} = \frac{47 \times 2}{20 \times 3} = \frac{94}{60}.
$$[/tex]

This fraction can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is [tex]$2$[/tex]:
[tex]$$
\frac{94 \div 2}{60 \div 2} = \frac{47}{30}.
$$[/tex]

Thus, the final result is:
[tex]$$
\frac{47}{30}.
$$[/tex]

Thanks for taking the time to read Calculate the following expression tex 2 35 cdot frac 2 3 tex Choose the correct answer from the options below A tex frac 7 30. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

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