The expression you've provided is:

\[
\frac{x}{x+1} + \frac{1}{x+1}
\]

Since both fractions have the same denominator \((x+1)\), you can combine them into a single fraction:

\[
\frac{x + 1}{x+1}
\]

Now, since the numerator and denominator are the same, this simplifies to:

\[
1
\]

So, the simplified expression is:

\[
\frac{x}{x+1} + \frac{1}{x+1} = 1
\]

Would you like more details on this, or do you have any other questions?

Here are 5 related questions you might find interesting:

1. How would you simplify \(\frac{2x}{x+2} + \frac{2}{x+2}\)?
2. What happens if you simplify \(\frac{x+1}{x} + \frac{1}{x}\)?
3. Can you find the derivative of \(\frac{x}{x+1}\)?
4. How do you solve the equation \(\frac{x}{x+1} + \frac{1}{x+1} = 2\)?
5. What is the value of \(\frac{x}{x+1} + \frac{1}{x+1}\) when \(x = 3\)?

**Tip:** When combining fractions, always check if they have the same denominator. If they do, you can directly add or subtract the numerators.

Learn how to simplify the expression (x/x+1) + (1/x+1) with a step-by-step solution. Understand the concept of combining fractions with a common denominator and simplifying algebraic expressions. Suitable for students in Grades 7-9.

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