High School

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 convert the fraction [tex]$\frac{2}{3}$[/tex] to a percentage, we follow these steps:

1. Multiply the fraction by 100:
[tex]$$\frac{2}{3} \times 100 = \frac{200}{3}.$$[/tex]

2. Express [tex]$\frac{200}{3}$[/tex] as a mixed number by performing the division:
- Dividing 200 by 3 gives a quotient of 66 and a remainder of 2.
- Therefore,
[tex]$$\frac{200}{3} = 66 \frac{2}{3}.$$[/tex]

3. Add the percent sign to indicate the percentage:
[tex]$$66 \frac{2}{3}\%.$$[/tex]

Thus, [tex]$\frac{2}{3}$[/tex] is equivalent to [tex]$66 \frac{2}{3}\%$[/tex].