Problem 55 - Introductory Algebra for College Students

Question

Simplify each rational expression. If the rational expression cannot be simplified, so state. $$\frac{x}{x+1}$$

Step-by-Step Solution

Answer

The rational expression \(\frac{x}{x+1}\) cannot be simplified further.

Step 1: Analysis

First, observe the given rational expression \(\frac{x}{x+1}\). We know that a rational expression can be simplified if there are common factors in the numerator and the denominator.

Step 2: Identifying Common Factors

In this rational expression, the numerator is \(x\) and the denominator is \(x+1\). There are no common factors in the numerator and the denominator, other than 1.

Step 3: Conclusion

Since there are no common factors in the numerator and the denominator of the given fraction, other than 1, the rational expression \(\frac{x}{x+1}\) cannot be simplified further.