To solve the problem [tex]\( 2 \frac{2}{3} \div 3 \)[/tex], we can follow these steps:
1. Convert the mixed fraction to an improper fraction:
[tex]\[
2 \frac{2}{3} = \frac{6}{3} + \frac{2}{3} = \frac{6 + 2}{3} = \frac{8}{3}
\][/tex]
2. Divide the improper fraction by 3:
When dividing fractions, we multiply by the reciprocal (the reciprocal of 3 is [tex]\(\frac{1}{3}\)[/tex]):
[tex]\[
\frac{8}{3} \div 3 = \frac{8}{3} \times \frac{1}{3} = \frac{8 \times 1}{3 \times 3} = \frac{8}{9}
\][/tex]
Thus, the result of [tex]\( 2 \frac{2}{3} \div 3 \)[/tex] is [tex]\( \frac{8}{9} \)[/tex].
Therefore, the correct answer is:
A. [tex]\(\frac{8}{9}\)[/tex]
