## Simplifying the Expression (x+1)/x

The expression (x+1)/x is a simple rational expression that can be simplified by performing some basic algebraic operations. Let's break down the steps:

**Understanding the Expression**

**Rational expression:**A rational expression is a fraction where the numerator and denominator are polynomials. In this case, the numerator is (x+1) and the denominator is x.**Simplifying:**Simplifying a rational expression means rewriting it in its simplest form. This involves finding any common factors in the numerator and denominator and canceling them out.

**Steps to Simplify**

**Factor the numerator (if possible):**In this case, the numerator (x+1) is already in its simplest factored form.**Identify common factors:**There are no common factors between the numerator (x+1) and the denominator (x).**Cancel common factors:**Since there are no common factors, we cannot cancel anything out.

**The Simplified Form**

Since we couldn't cancel any factors, the expression (x+1)/x is already in its simplest form. It cannot be simplified further.

**Important Note:** It's crucial to remember that the denominator **cannot** be zero. Therefore, this simplified expression is valid for all values of *x* except for *x* = 0.

**In conclusion:** The expression (x+1)/x is already in its simplest form and cannot be simplified further. However, it is important to keep in mind that it is only valid for values of *x* that are not equal to 0.