Answer :
To solve the problem [tex]\(235 \cdot \frac{2}{3}\)[/tex], we need to multiply 235 by the fraction [tex]\(\frac{2}{3}\)[/tex].
1. Multiply the Whole Number by the Numerator:
First, we'll multiply the whole number 235 by the numerator of the fraction, which is 2.
[tex]\[
235 \times 2 = 470
\][/tex]
2. Divide the Result by the Denominator:
Now, we'll take the result from step 1 and divide it by the denominator of the fraction, which is 3.
[tex]\[
\frac{470}{3} \approx 156.6667
\][/tex]
Since 156.6667 is a decimal and none of the provided options are decimals, it seems like the multiplication does not simplify to one of the given fraction options. The value 156.6667 corresponds to a fraction of approximately [tex]\(\frac{470}{3}\)[/tex], which doesn't match any of the given options directly.
Therefore, none of the answer choices [tex]\(\frac{7}{30}\)[/tex], [tex]\(\frac{7}{16}\)[/tex], [tex]\(\frac{27}{30}\)[/tex], or [tex]\(\frac{47}{30}\)[/tex] is correct for expressing 235 multiplied by [tex]\(\frac{2}{3}\)[/tex].
1. Multiply the Whole Number by the Numerator:
First, we'll multiply the whole number 235 by the numerator of the fraction, which is 2.
[tex]\[
235 \times 2 = 470
\][/tex]
2. Divide the Result by the Denominator:
Now, we'll take the result from step 1 and divide it by the denominator of the fraction, which is 3.
[tex]\[
\frac{470}{3} \approx 156.6667
\][/tex]
Since 156.6667 is a decimal and none of the provided options are decimals, it seems like the multiplication does not simplify to one of the given fraction options. The value 156.6667 corresponds to a fraction of approximately [tex]\(\frac{470}{3}\)[/tex], which doesn't match any of the given options directly.
Therefore, none of the answer choices [tex]\(\frac{7}{30}\)[/tex], [tex]\(\frac{7}{16}\)[/tex], [tex]\(\frac{27}{30}\)[/tex], or [tex]\(\frac{47}{30}\)[/tex] is correct for expressing 235 multiplied by [tex]\(\frac{2}{3}\)[/tex].
