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The expression you provided is:

\[
\frac{2}{x} + \frac{3}{y}
\]

You are asked to simplify this expression.

### Step-by-Step Simplification:

The expression is already in its simplest form since it consists of two separate fractions with different denominators, \( x \) and \( y \).

However, if you want to combine these fractions into a single fraction, you can find a common denominator. The common denominator between \( x \) and \( y \) is simply their product, \( x \times y \).

1. Rewrite each term with the common denominator:
   \[
   \frac{2}{x} = \frac{2y}{xy}, \quad \frac{3}{y} = \frac{3x}{xy}
   \]

2. Combine the two fractions:
   \[
   \frac{2y}{xy} + \frac{3x}{xy} = \frac{2y + 3x}{xy}
   \]

### Final Expression:
\[
\frac{2y + 3x}{xy}
\]

This is the simplified form of the given expression.

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Do you need any further clarification or have any specific questions?

Here are some related questions for further exploration:

1. How do you find a common denominator for two fractions?
2. How do you add or subtract fractions with different denominators?
3. Can the expression \(\frac{2y + 3x}{xy}\) be simplified further under certain conditions?
4. How would this process change if the variables were not just \(x\) and \(y\), but more complex expressions?
5. What are some common mistakes when simplifying algebraic fractions?

**Tip:** When simplifying fractions, always check if there's a common factor between the numerator and denominator that can be canceled out!

Learn how to simplify the algebraic expression 2/x + 3/y by finding a common denominator and combining the fractions. This problem is suitable for middle school students learning about algebra and fractions.

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