Solve the Division Problem: 1/3 ÷ 3 Using Ratio Notation

To solve the problem $\frac{1}{3} : 3$, we will follow these clear steps:

• Step 1: Understand that dividing by 3 is equivalent to multiplying by the reciprocal of 3, which is $\frac{1}{3}$.
• Step 2: Convert the division problem $\frac{1}{3} : 3$ into a multiplication problem $\frac{1}{3} \times \frac{1}{3}$.
• Step 3: Perform the multiplication of fractions:

Using the formula $\frac{a}{b} \times \frac{c}{d} = \frac{a \cdot c}{b \cdot d}$, we have:

$\frac{1}{3} \times \frac{1}{3} = \frac{1 \cdot 1}{3 \cdot 3} = \frac{1}{9}$.

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