1. The problem is to divide the fraction $\frac{7}{9}$ by the whole number 3. 2. Recall the rule for dividing fractions: dividing by a number is the same as multiplying by its reciprocal. 3. So, $\frac{7}{9} \div 3 = \frac{7}{9} \times \frac{1}{3}$. 4. Multiply the numerators: $7 \times 1 = 7$. 5. Multiply the denominators: $9 \times 3 = 27$. 6. So, the result is $\frac{7}{27}$. 7. Check if the fraction can be simplified: 7 and 27 have no common factors other than 1, so $\frac{7}{27}$ is already in simplest form. Final answer: $\frac{7}{27}$