Problem 77 - Introductory Algebra for College Students

Question

Explain how to add rational expressions when denominators are the same. Give an example with your explanation.

Step-by-Step Solution

Answer

To add rational expressions with the same denominator, simply add the numerators and keep the denominator the same. So for example, \(3/4 + 2/4\) becomes \(5/4\).

Step 1: Recognize the Same Denominators

Identify the rational expressions with the same denominators. As an example, let's look at the rational expressions \(3/4\) and \(2/4\). Both expressions have the same denominator, 4.

Step 2: Add the Numerators

When the denominators are the same, add the numerators together. In our example, adding the numerators 3 and 2 results in a numerator of 5.

Step 3: Write the Final Expression

Write the result as a new rational expression with the unchanged denominator. In our example, this results in an expression of \(5/4\). This is the final result.