Answer :
To solve the expression [tex]\(2.35 \cdot \frac{2}{3}\)[/tex]:
1. Understand the Problem:
- We need to multiply 2.35 by the fraction [tex]\(\frac{2}{3}\)[/tex].
2. Perform the Multiplication:
- Take the decimal number 2.35 and multiply it by the fraction [tex]\(\frac{2}{3}\)[/tex].
3. Calculate the Result:
- By multiplying 2.35 by [tex]\(\frac{2}{3}\)[/tex], we get approximately 1.5666666666666667.
4. Convert to Fraction (if necessary):
- The value 1.5666666666666667 corresponds to the multiplication result.
5. Evaluate the Given Options:
- Option 1: [tex]\(\frac{7}{30}\)[/tex] is approximately 0.2333, which does not match.
- Option 2: [tex]\(\frac{7}{15}\)[/tex] is approximately 0.4667, which does not match.
- Option 3: [tex]\(\frac{27}{30}\)[/tex] simplifies to [tex]\(\frac{9}{10}\)[/tex], which is 0.9, so it does not match.
- Option 4: 47 is far too large to be considered.
None of these options match the precise multiplication result of 1.5666666666666667. Therefore, the correct answer is not provided in the given options.
1. Understand the Problem:
- We need to multiply 2.35 by the fraction [tex]\(\frac{2}{3}\)[/tex].
2. Perform the Multiplication:
- Take the decimal number 2.35 and multiply it by the fraction [tex]\(\frac{2}{3}\)[/tex].
3. Calculate the Result:
- By multiplying 2.35 by [tex]\(\frac{2}{3}\)[/tex], we get approximately 1.5666666666666667.
4. Convert to Fraction (if necessary):
- The value 1.5666666666666667 corresponds to the multiplication result.
5. Evaluate the Given Options:
- Option 1: [tex]\(\frac{7}{30}\)[/tex] is approximately 0.2333, which does not match.
- Option 2: [tex]\(\frac{7}{15}\)[/tex] is approximately 0.4667, which does not match.
- Option 3: [tex]\(\frac{27}{30}\)[/tex] simplifies to [tex]\(\frac{9}{10}\)[/tex], which is 0.9, so it does not match.
- Option 4: 47 is far too large to be considered.
None of these options match the precise multiplication result of 1.5666666666666667. Therefore, the correct answer is not provided in the given options.
