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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 :

We start by writing the fraction in percentage form. Since percentages are found by multiplying by 100, we have:

[tex]$$
\frac{2}{3} \times 100 = \frac{200}{3}.
$$[/tex]

Dividing 200 by 3 gives an approximate result of 66.6666..., which can be expressed as a mixed number. Notice that

[tex]$$
\frac{200}{3} = 66 + \frac{2}{3}.
$$[/tex]

Thus, in percentage form, this is written as

[tex]$$
66 \frac{2}{3}\%.
$$[/tex]

So the equivalent percentage is [tex]$66\frac{2}{3}\%$[/tex].

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