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Calculate the following expression:

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

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

Answer :

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

1. Understand the Problem: We are multiplying a decimal number (2.35) by a fraction ([tex]\(\frac{2}{3}\)[/tex]).

2. Convert the Decimal to a Fraction (if needed for understanding): The decimal 2.35 can be represented as a fraction, but for our purposes, we'll keep it as a decimal for simplicity in multiplication.

3. Perform the Multiplication: Multiply the decimal 2.35 by [tex]\(\frac{2}{3}\)[/tex]:

[tex]\[
2.35 \times \frac{2}{3} = 1.5666666\ldots
\][/tex]

This is the decimal form of the product.

4. Convert the Decimal Result to a Fraction: The decimal result 1.5666666..., when expressed as a fraction, is [tex]\(\frac{47}{30}\)[/tex].

5. Check the Options: Compare the fraction [tex]\(\frac{47}{30}\)[/tex] with the given options.

- [tex]\(\frac{7}{30}\)[/tex]
- [tex]\(\frac{7}{15}\)[/tex]
- [tex]\(\frac{27}{30}\)[/tex]
- [tex]\(\frac{47}{30}\)[/tex]

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

Therefore, the solution to the problem [tex]\(2.35 \cdot \frac{2}{3}\)[/tex] is [tex]\(\frac{47}{30}\)[/tex].

Thanks for taking the time to read Calculate the following expression 2 35 cdot frac 2 3 A frac 7 30 B frac 7 15 C frac 27 30 D frac 47. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

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