Let's solve the expression step by step:

The given expression is:

\[
2r - \frac{4}{2} - r
\]

### Step 1: Simplify the fraction
\[
\frac{4}{2} = 2
\]
Thus, the expression becomes:

\[
2r - 2 - r
\]

### Step 2: Combine like terms
You can combine the \(2r\) and \(-r\) terms:

\[
(2r - r) - 2 = r - 2
\]

### Final Answer:
\[
r - 2
\]

Would you like further details or have any questions? Here are some related problems for practice:

1. Simplify: \( 3x - \frac{6}{2} - x \)
2. Simplify: \( 4y - \frac{8}{4} - 2y \)
3. Simplify: \( 5z - \frac{10}{5} - 3z \)
4. Simplify: \( r - \frac{6}{3} + 2r \)
5. Simplify: \( 6r - \frac{12}{4} - 3r \)

**Tip:** Always simplify fractions first when dealing with mixed expressions involving variables.

Learn how to simplify the algebraic expression 2r - 4/2 - r step by step. This problem covers key algebraic concepts such as fraction simplification and combining like terms. Suitable for students in Grades 6-8.

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