Math Example--Rational Concepts--Rational Expressions: Example 1

Topic

Rational Expressions

Description

This example demonstrates how to combine the rational expressions 1/2 + 1/3. The solution involves finding a common denominator, which is 6, and then adding the fractions to get 5/6. To solve this, we multiply each fraction by the appropriate factor to create equivalent fractions with the common denominator: (1 * 3/3) + (1 * 2/2) = 3/6 + 2/6. Then, we add the numerators while keeping the common denominator: (3 + 2)/6 = 5/6.

Rational expressions are algebraic fractions where both the numerator and denominator are polynomials. Understanding how to combine these expressions is crucial for solving more complex algebraic problems. This collection of examples helps teach this topic by providing step-by-step solutions for various scenarios, allowing students to see the process applied to different types of rational expressions.

Seeing multiple worked-out examples is essential for students to fully grasp the concept of combining rational expressions. Each example reinforces the fundamental steps while introducing slight variations, helping students develop problem-solving skills and recognize patterns in the solution process.

Teacher's Script: Let's look at our first example of combining rational expressions. Notice how we find a common denominator before adding the fractions. This is a key step in working with rational expressions. Can you think of why finding a common denominator is important?

For a complete collection of math examples related to Rational Expressions click on this link: Math Examples: Rational Expressions Collection.