College

Calculate the following expression:

[tex]\[ 2.35 \cdot \frac{2}{3} = \][/tex]

A. [tex]\(\frac{7}{30}\)[/tex]
B. [tex]\(\frac{7}{15}\)[/tex]
C. [tex]\(\frac{27}{30}\)[/tex]
D. [tex]\(\frac{47}{30}\)[/tex]

Answer :

To solve the problem [tex]\(2.35 \cdot \frac{2}{3}\)[/tex], follow these simple steps:

1. Multiply the Numbers:
- Start by multiplying 2.35 by [tex]\(\frac{2}{3}\)[/tex].
- When you do the calculation, you should get approximately 1.5667.

2. Convert to a Fraction:
- Now, let's see which of the provided answers matches this result.
- Your answer in decimal form is 1.5667, which can be written as a fraction.

3. Find the Matching Fraction:
- Among the given options, convert each one to decimal form if needed, or try to identify which fraction equals approximately 1.5667.

4. Select the Correct Answer:
- After checking the options, [tex]\(\frac{47}{30}\)[/tex] is the closest match. When you convert [tex]\(\frac{47}{30}\)[/tex] to a decimal, you also get approximately 1.5667.

Therefore, the correct answer is [tex]\(\frac{47}{30}\)[/tex].