Answer :
To solve the problem, we need to find [tex]\(2.35 \times \frac{2}{3}\)[/tex].
Step 1: Understand the multiplication
- We are multiplying a decimal (2.35) by a fraction ([tex]\(\frac{2}{3}\)[/tex]).
Step 2: Perform the multiplication
- Multiply the decimal by the numerator of the fraction and then divide by the denominator:
[tex]\[
2.35 \times 2 = 4.7
\][/tex]
[tex]\[
\frac{4.7}{3} = 1.5666666666666667
\][/tex]
Step 3: Simplify the result into a fraction
- The decimal 1.5666666666666667 is equivalent to [tex]\(\frac{47}{30}\)[/tex] when converted into a fraction and simplified.
Conclusion: Choose the correct answer
- From the given options, [tex]\(\frac{47}{30}\)[/tex] is the correct fraction representation of the result.
Step 1: Understand the multiplication
- We are multiplying a decimal (2.35) by a fraction ([tex]\(\frac{2}{3}\)[/tex]).
Step 2: Perform the multiplication
- Multiply the decimal by the numerator of the fraction and then divide by the denominator:
[tex]\[
2.35 \times 2 = 4.7
\][/tex]
[tex]\[
\frac{4.7}{3} = 1.5666666666666667
\][/tex]
Step 3: Simplify the result into a fraction
- The decimal 1.5666666666666667 is equivalent to [tex]\(\frac{47}{30}\)[/tex] when converted into a fraction and simplified.
Conclusion: Choose the correct answer
- From the given options, [tex]\(\frac{47}{30}\)[/tex] is the correct fraction representation of the result.
