To solve \( \frac{7}{9} \div \frac{2}{3} \), you can multiply by the reciprocal of the second fraction.
The reciprocal of \( \frac{2}{3} \) is \( \frac{3}{2} \).
So,
\[ \frac{7}{9} \div \frac{2}{3} = \frac{7}{9} \times \frac{3}{2} \]
Now, multiply the numerators and the denominators:
\[ \frac{7 \times 3}{9 \times 2} = \frac{21}{18} \]
Now, we can simplify \( \frac{21}{18} \) by dividing both the numerator and denominator by 3:
\[ \frac{21 \div 3}{18 \div 3} = \frac{7}{6} \]
However, since you have provided options, the direct result without simplification is \( \frac{21}{18} \), which matches one of your answers.
So the answer is:
21/18