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Calculate the following expression:

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

A. \(\frac{7}{30}\)
B. \(\frac{7}{15}\)
C. \(\frac{27}{30}\)
D. \(\frac{47}{30}\)

Answer :

To solve the problem, we begin by writing the decimal number as a fraction. Notice that

[tex]$$
2.35 = \frac{235}{100}.
$$[/tex]

Now we want to multiply by the fraction [tex]$\frac{2}{3}$[/tex]:

[tex]$$
2.35 \cdot \frac{2}{3} = \frac{235}{100} \cdot \frac{2}{3}.
$$[/tex]

Multiply the numerators and the denominators:

[tex]$$
\frac{235 \times 2}{100 \times 3} = \frac{470}{300}.
$$[/tex]

Next, simplify the fraction by dividing the numerator and the denominator by their common factor, which is 10:

[tex]$$
\frac{470 \div 10}{300 \div 10} = \frac{47}{30}.
$$[/tex]

Thus, the final answer is

[tex]$$
\boxed{\frac{47}{30}}.
$$[/tex]

Thanks for taking the time to read Calculate the following expression 2 35 cdot frac 2 3 A frac 7 30 B frac 7 15 C frac 27 30 D frac 47. 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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