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Answer :
To solve the problem [tex]\(235 \cdot \frac{2}{3}\)[/tex], we need to multiply the whole number, 235, by the fraction [tex]\(\frac{2}{3}\)[/tex].
1. Multiply the Whole Number by the Numerator:
- First, multiply 235 by the top number (numerator) of the fraction, which is 2.
[tex]\[
235 \times 2 = 470
\][/tex]
2. Divide by the Denominator:
- Next, divide the result from step 1 by the bottom number (denominator) of the fraction, which is 3.
[tex]\[
\frac{470}{3} \approx 156.67
\][/tex]
3. Convert to a Fractional Form:
- The fraction [tex]\(\frac{470}{3}\)[/tex] is an improper fraction. However, the given multiple-choice options seem to focus on fractions with different denominators, so we need to simplify or convert this to match one of the options.
- Unfortunately, none of the options directly matches [tex]\(\frac{470}{3}\)[/tex] or its decimal equivalent precisely.
4. Compare Possible Options:
- Since the decimal and fractional results are not listed among the options [tex]\(\frac{7}{30}\)[/tex], [tex]\(\frac{7}{15}\)[/tex], [tex]\(\frac{27}{30}\)[/tex], or [tex]\(\frac{47}{30}\)[/tex], there seems to be a discrepancy. Sometimes in such cases, double-checking the problem or interpreting the options according to context might be necessary.
Given the complexity uncovered here, it seems like the problem may lack a directly corresponding answer among the options, suggesting a potential breakdown in matching these specific forms.
1. Multiply the Whole Number by the Numerator:
- First, multiply 235 by the top number (numerator) of the fraction, which is 2.
[tex]\[
235 \times 2 = 470
\][/tex]
2. Divide by the Denominator:
- Next, divide the result from step 1 by the bottom number (denominator) of the fraction, which is 3.
[tex]\[
\frac{470}{3} \approx 156.67
\][/tex]
3. Convert to a Fractional Form:
- The fraction [tex]\(\frac{470}{3}\)[/tex] is an improper fraction. However, the given multiple-choice options seem to focus on fractions with different denominators, so we need to simplify or convert this to match one of the options.
- Unfortunately, none of the options directly matches [tex]\(\frac{470}{3}\)[/tex] or its decimal equivalent precisely.
4. Compare Possible Options:
- Since the decimal and fractional results are not listed among the options [tex]\(\frac{7}{30}\)[/tex], [tex]\(\frac{7}{15}\)[/tex], [tex]\(\frac{27}{30}\)[/tex], or [tex]\(\frac{47}{30}\)[/tex], there seems to be a discrepancy. Sometimes in such cases, double-checking the problem or interpreting the options according to context might be necessary.
Given the complexity uncovered here, it seems like the problem may lack a directly corresponding answer among the options, suggesting a potential breakdown in matching these specific forms.
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