College

Calculate the following expression:

\[ 235 \cdot \frac{2}{3} = \]

A. \(\frac{7}{30}\)

B. 7

C. \(\frac{27}{30}\)

D. 47

Answer :

To solve the problem of multiplying 235 by the fraction [tex]\(\frac{2}{3}\)[/tex], follow these steps:

1. Understand the Problem: We need to find the product of 235 and [tex]\(\frac{2}{3}\)[/tex].

2. Convert the Operation into a Multiplication: When multiplying a whole number by a fraction, you multiply the whole number by the numerator of the fraction and then divide by the denominator.

3. Perform the Multiplication:
[tex]\[ 235 \times \frac{2}{3} = 235 \times 2 = 470 \][/tex]

4. Divide by the Denominator:
[tex]\[ \frac{470}{3} = 156.666... \][/tex]

5. Result Interpretation: The result is a repeating decimal, which is 156.666...

Thus, the value of [tex]\(235 \times \frac{2}{3}\)[/tex] is approximately 156.67.

Since none of the provided answers match exactly, it is important to note that this value does not correspond directly to any simple fraction or whole number listed in the options.