Solve the Fraction Problem: 3/9 ÷ 3 = ?

To solve this problem, let's follow these steps:

• Step 1: Convert the division of the fraction by the whole number into multiplication by the reciprocal of that whole number.
• Step 2: Calculate the new fraction.
• Step 3: Simplify the fraction if necessary.

Step 1: We have the fraction $\frac{3}{9}$ and we want to divide it by 3. We will convert this division into multiplication by the reciprocal of 3, which is $\frac{1}{3}$. Thus, the operation becomes:

$\frac{3}{9} \times \frac{1}{3}$

Step 2: Perform the multiplication. Multiply the numerators together and the denominators together:

Numerator: $3 \times 1 = 3$
Denominator: $9 \times 3 = 27$

This results in the fraction $\frac{3}{27}$.

Step 3: Simplify $\frac{3}{27}$. Notice that the numerator and the denominator have a common factor of 3:

Divide both the numerator and the denominator by 3:

$\frac{3 \div 3}{27 \div 3} = \frac{1}{9}$

Therefore, the solution to the problem is $\frac{1}{9}$.