College

We appreciate your visit to What percent is equivalent to tex frac 2 3 tex A tex 66 frac 1 3 tex B tex 66 frac 3 5 tex C. 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!

What percent is equivalent to [tex]\frac{2}{3}[/tex]?

A. [tex]66 \frac{1}{3} \%[/tex]
B. [tex]66 \frac{3}{5} \%[/tex]
C. [tex]66 \frac{2}{3} \%[/tex]
D. [tex]66 \frac{7}{10} \%[/tex]

Answer :

To find the percentage that is equivalent to [tex]\(\frac{2}{3}\)[/tex], we can follow these steps:

1. Convert the fraction to a decimal:
Divide the numerator (2) by the denominator (3):
[tex]\[
\frac{2}{3} = 0.66666666\ldots
\][/tex]
This is a repeating decimal.

2. Convert the decimal to a percentage:
To convert a decimal to a percentage, multiply it by 100:
[tex]\[
0.66666666\ldots \times 100 = 66.666666\ldots\%
\][/tex]

3. Express the repeating decimal as a fraction:
The decimal 0.666666\ldots is equivalent to [tex]\(66 \frac{2}{3}\%\)[/tex] because the repeating decimal 0.666... is equivalent to the fraction [tex]\(\frac{2}{3}\)[/tex].

So, the percentage equivalent to [tex]\(\frac{2}{3}\)[/tex] is [tex]\(66 \frac{2}{3}\%\)[/tex]. Therefore, the correct answer is:
[tex]\[ 66 \frac{2}{3}\% \][/tex]

Thanks for taking the time to read What percent is equivalent to tex frac 2 3 tex A tex 66 frac 1 3 tex B tex 66 frac 3 5 tex C. 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