https://file.aiquickdraw.com/mathbot/file/172617204249372v0u9sv.jpg

The image shows a mathematical expression involving a fraction. Specifically, it represents:

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

### Steps to solve:

1. First, simplify the denominator \( 1 + \frac{1}{3} \).
   \[
   1 + \frac{1}{3} = \frac{3}{3} + \frac{1}{3} = \frac{4}{3}
   \]

2. Now, substitute this back into the expression:
   \[
   \frac{2}{\frac{4}{3}}
   \]

3. To simplify \(\frac{2}{\frac{4}{3}}\), multiply by the reciprocal of \(\frac{4}{3}\):
   \[
   \frac{2}{\frac{4}{3}} = 2 \times \frac{3}{4} = \frac{6}{4} = \frac{3}{2}
   \]

So, the expression simplifies to **\(\frac{3}{2}\) or 1.5**.

Would you like further details or have any questions?

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Here are some related questions you might explore:
1. What is the general process for simplifying complex fractions?
2. How do you add and subtract fractions with different denominators?
3. How do you divide fractions?
4. What real-world situations can involve complex fractions like this?
5. How can improper fractions be converted to mixed numbers?

**Tip**: When dividing fractions, remember to multiply by the reciprocal of the divisor!

Learn how to simplify the complex fraction \frac{2}{1 + \frac{1}{3}} using reciprocal and fraction addition techniques. This step-by-step solution is suitable for students in Grades 6-8.

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