Answer :
To solve the problem of multiplying 2.35 by [tex]\(\frac{2}{3}\)[/tex], follow these steps:
1. Multiply the Decimal by the Fraction:
Start by multiplying 2.35 by [tex]\(\frac{2}{3}\)[/tex].
2. Perform the Multiplication:
When you multiply 2.35 by [tex]\(\frac{2}{3}\)[/tex], the result is approximately 1.5667.
3. Compare with the Given Options:
You need to find out which of the options matches this value:
- [tex]\(\frac{7}{30} \approx 0.2333\)[/tex]
- [tex]\(\frac{7}{15} \approx 0.4667\)[/tex]
- [tex]\(\frac{27}{30} = 0.9\)[/tex]
- [tex]\(\frac{47}{30} \approx 1.5667\)[/tex]
4. Choose the Closest Option:
The result of about 1.5667 matches the option [tex]\(\frac{47}{30}\)[/tex].
Therefore, the correct answer for [tex]\(2.35 \times \frac{2}{3}\)[/tex] is [tex]\(\frac{47}{30}\)[/tex].
1. Multiply the Decimal by the Fraction:
Start by multiplying 2.35 by [tex]\(\frac{2}{3}\)[/tex].
2. Perform the Multiplication:
When you multiply 2.35 by [tex]\(\frac{2}{3}\)[/tex], the result is approximately 1.5667.
3. Compare with the Given Options:
You need to find out which of the options matches this value:
- [tex]\(\frac{7}{30} \approx 0.2333\)[/tex]
- [tex]\(\frac{7}{15} \approx 0.4667\)[/tex]
- [tex]\(\frac{27}{30} = 0.9\)[/tex]
- [tex]\(\frac{47}{30} \approx 1.5667\)[/tex]
4. Choose the Closest Option:
The result of about 1.5667 matches the option [tex]\(\frac{47}{30}\)[/tex].
Therefore, the correct answer for [tex]\(2.35 \times \frac{2}{3}\)[/tex] is [tex]\(\frac{47}{30}\)[/tex].
