Answer :
To solve the problem [tex]\(2.35 \times \frac{2}{3}\)[/tex], follow these steps:
1. Understand the Problem:
You need to multiply the decimal number 2.35 by the fraction [tex]\(\frac{2}{3}\)[/tex].
2. Convert the Decimal to a Fraction (optional but helpful explanation):
The number 2.35 can be expressed as a fraction by writing it as [tex]\(\frac{235}{100}\)[/tex]. This step is foundational knowledge, but we can do the calculation directly.
3. Perform the Multiplication:
Multiply the decimal 2.35 by the fraction [tex]\(\frac{2}{3}\)[/tex]:
[tex]\[
2.35 \times \frac{2}{3} = 1.56666666666667
\][/tex]
4. Express the Result as a Fraction (if needed):
The calculated result of 1.56666666666667, when expressed as a fraction, is [tex]\(\frac{47}{30}\)[/tex].
5. Comparison with Options Provided:
Among the given options, [tex]\(\frac{47}{30}\)[/tex] matches our result.
Therefore, the answer is [tex]\(\frac{47}{30}\)[/tex].
1. Understand the Problem:
You need to multiply the decimal number 2.35 by the fraction [tex]\(\frac{2}{3}\)[/tex].
2. Convert the Decimal to a Fraction (optional but helpful explanation):
The number 2.35 can be expressed as a fraction by writing it as [tex]\(\frac{235}{100}\)[/tex]. This step is foundational knowledge, but we can do the calculation directly.
3. Perform the Multiplication:
Multiply the decimal 2.35 by the fraction [tex]\(\frac{2}{3}\)[/tex]:
[tex]\[
2.35 \times \frac{2}{3} = 1.56666666666667
\][/tex]
4. Express the Result as a Fraction (if needed):
The calculated result of 1.56666666666667, when expressed as a fraction, is [tex]\(\frac{47}{30}\)[/tex].
5. Comparison with Options Provided:
Among the given options, [tex]\(\frac{47}{30}\)[/tex] matches our result.
Therefore, the answer is [tex]\(\frac{47}{30}\)[/tex].
