To convert the expression \( 8 + \frac{3x}{6} \) into a single fraction, follow these steps:

1. Simplify the term \( \frac{3x}{6} \):
   \[
   \frac{3x}{6} = \frac{x}{2}
   \]

2. Express \( 8 \) as a fraction with the same denominator as \( \frac{x}{2} \):
   \[
   8 = \frac{8 \times 2}{2} = \frac{16}{2}
   \]

3. Combine the fractions:
   \[
   8 + \frac{x}{2} = \frac{16}{2} + \frac{x}{2} = \frac{16 + x}{2}
   \]

So, the expression \( 8 + \frac{3x}{6} \) as a single fraction is \( \frac{16 + x}{2} \).

Would you like more details, or do you have any other questions? Here are some related questions:

1. How do you simplify fractions?
2. What are common denominators and why are they useful?
3. How do you add and subtract algebraic fractions?
4. How can fractions be represented on a number line?
5. What are improper fractions and mixed numbers?

**Tip:** Always simplify fractions where possible before combining them.

Learn how to convert the expression 8 + 3x/6 into a single fraction step-by-step. This problem involves simplifying fractions and combining terms in algebraic expressions. Suitable for students in Grades 7-9.

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