The expression you provided is:

\[
\frac{5}{2x} + \frac{3}{x}
\]

To simplify or combine this expression, we can find a common denominator.

### Step 1: Find the Least Common Denominator (LCD)
The denominators in this expression are \(2x\) and \(x\). The least common denominator (LCD) of these two is \(2x\).

### Step 2: Rewrite Each Fraction with the LCD
Now, rewrite each fraction with the common denominator:

\[
\frac{5}{2x} + \frac{3}{x} = \frac{5}{2x} + \frac{3 \cdot 2}{x \cdot 2} = \frac{5}{2x} + \frac{6}{2x}
\]

### Step 3: Combine the Fractions
Since both fractions now have the same denominator, you can combine them:

\[
\frac{5 + 6}{2x} = \frac{11}{2x}
\]

### Final Answer:
The simplified form of the expression is:

\[
\frac{11}{2x}
\]

Would you like further details or have any questions about this?  

Here are 5 related questions you might find interesting:

1. How would you simplify \(\frac{7}{3x} + \frac{2}{x}\)?
2. What is the least common denominator of \(\frac{1}{x}\) and \(\frac{2}{3x}\)?
3. How do you solve the equation \(\frac{11}{2x} = 4\) for \(x\)?
4. What happens if \(x = 0\) in the original expression?
5. Can you add \(\frac{5}{x}\) and \(\frac{7}{2}\) without finding a common denominator?

**Tip:** When adding or subtracting fractions, always look for the least common denominator to simplify the process.

Learn how to simplify the expression 5/2x + 3/x step-by-step. Understand the concept of combining fractions with different denominators. Suitable for Grades 7-9.

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