Let's break down the expression:

\[
\frac{1}{3} \div \frac{2}{3}
\]

To divide two fractions, we multiply the first fraction by the reciprocal of the second fraction. The reciprocal of \(\frac{2}{3}\) is \(\frac{3}{2}\). So, the expression becomes:

\[
\frac{1}{3} \times \frac{3}{2}
\]

Now, multiply the numerators and the denominators:

\[
\frac{1 \times 3}{3 \times 2} = \frac{3}{6}
\]

Simplify \(\frac{3}{6}\):

\[
\frac{3}{6} = \frac{1}{2}
\]

So, the result is \(\frac{1}{2}\).

Would you like more details, or do you have any questions?

Here are some related questions you might find helpful:
1. How do you multiply and divide fractions with different denominators?
2. What are the steps to simplify a fraction?
3. Can you explain how to find the reciprocal of a fraction?
4. How can fractions be converted into decimals?
5. What are some practical applications of dividing fractions?

**Tip:** When dividing fractions, always remember to multiply by the reciprocal of the second fraction!

Discover how to divide fractions in this easy-to-follow guide. Solve 1/3 ÷ 2/3 using the reciprocal method and simplify the result step by step. Learn core concepts such as multiplying fractions and simplifying results, perfect for students in Grades 6-8.

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