High School

We appreciate your visit to Calculate tex 2 35 cdot frac 2 3 tex and choose the correct equivalent fraction A tex frac k 30 tex B tex frac 7. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

Calculate [tex]2.35 \cdot \frac{2}{3}[/tex] and choose the correct equivalent fraction.

A. [tex]\frac{k}{30}[/tex]

B. [tex]\frac{7}{15}[/tex]

C. [tex]\frac{27}{30}[/tex]

D. [tex]\frac{47}{30}[/tex]

Answer :

To solve the question [tex]\(2.35 \cdot \frac{2}{3} \)[/tex], we need to follow these steps:

1. Multiply 2.35 by [tex]\(\frac{2}{3}\)[/tex]:

First, convert 2.35 into a fraction or a decimal. As a decimal, it's already given. Now, multiply:

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

Calculate the multiplication in the numerator:

[tex]\[
2.35 \times 2 = 4.7
\][/tex]

So, the expression becomes:

[tex]\[
\frac{4.7}{3}
\][/tex]

2. Convert the result to a fraction:

Next, convert the decimal 4.7 into a fraction:

[tex]\[
4.7 = \frac{47}{10}
\][/tex]

Now, divide by 3:

[tex]\[
\frac{47}{10} \times \frac{1}{3} = \frac{47}{30}
\][/tex]

3. Match the result with the given options:

Compare this calculated fraction [tex]\(\frac{47}{30}\)[/tex] with the given choices:

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

The fraction [tex]\(\frac{47}{30}\)[/tex] matches the last option.

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

Thanks for taking the time to read Calculate tex 2 35 cdot frac 2 3 tex and choose the correct equivalent fraction A tex frac k 30 tex B tex frac 7. 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!

Rewritten by : Barada