Answer :
To solve the problem of multiplying [tex]\(2.35\)[/tex] by [tex]\(\frac{2}{3}\)[/tex] and finding its equivalent fraction from the given options, follow these steps:
1. Multiply the Values:
- First, you multiply the decimal number by the fraction:
[tex]\[
2.35 \times \frac{2}{3} = 1.566666\ldots
\][/tex]
2. Convert the Product to a Fraction:
- The product [tex]\(1.566666\ldots\)[/tex] can be converted to a fraction. The fraction that closely represents this decimal is [tex]\(\frac{47}{30}\)[/tex].
3. Compare with Given Options:
- The options provided are:
- [tex]\(\frac{27}{30}\)[/tex]
- [tex]\(\frac{7}{15}\)[/tex]
- [tex]\(\frac{47}{30}\)[/tex]
- [tex]\(\frac{7}{30}\)[/tex]
- The fraction [tex]\(\frac{47}{30}\)[/tex] matches the product [tex]\(1.566666\ldots\)[/tex] exactly.
Thus, the correct answer is [tex]\(\frac{47}{30}\)[/tex].
1. Multiply the Values:
- First, you multiply the decimal number by the fraction:
[tex]\[
2.35 \times \frac{2}{3} = 1.566666\ldots
\][/tex]
2. Convert the Product to a Fraction:
- The product [tex]\(1.566666\ldots\)[/tex] can be converted to a fraction. The fraction that closely represents this decimal is [tex]\(\frac{47}{30}\)[/tex].
3. Compare with Given Options:
- The options provided are:
- [tex]\(\frac{27}{30}\)[/tex]
- [tex]\(\frac{7}{15}\)[/tex]
- [tex]\(\frac{47}{30}\)[/tex]
- [tex]\(\frac{7}{30}\)[/tex]
- The fraction [tex]\(\frac{47}{30}\)[/tex] matches the product [tex]\(1.566666\ldots\)[/tex] exactly.
Thus, the correct answer is [tex]\(\frac{47}{30}\)[/tex].
