Solve the Division Problem: 9/13 Divided by 3

To solve this problem, we'll convert the division of the fraction $\frac{9}{13}$ by the whole number 3 into a multiplication problem. This involves multiplying by the reciprocal of 3.

Step-by-step solution:
Step 1: Rewrite the division problem using the concept of reciprocal:
$\frac{9}{13} : 3 = \frac{9}{13} \times \frac{1}{3}$ Step 2: Perform the multiplication of the fractions:
When multiplying fractions, multiply the numerators together and the denominators together:
$\frac{9 \times 1}{13 \times 3} = \frac{9}{39}$ Step 3: Simplify the resulting fraction:
To simplify $\frac{9}{39}$, find the greatest common divisor (GCD) of 9 and 39, which is 3:
Divide both the numerator and the denominator by 3:
$\frac{9 \div 3}{39 \div 3} = \frac{3}{13}$

Therefore, the solution to the problem is $\frac{3}{13}$.