Dividing two rational expressions by multiplying by the LCM

The video tutorial explains how to handle equations with fractions by using the least common multiple (LCM). It starts with an introduction to fractions and the challenges they present in equations. The instructor demonstrates how to solve these equations by multiplying all terms by the LCM, simplifying the process. The tutorial covers determining the LCM, applying it to equations, and simplifying the results to reach a solution.

What is one method to eliminate fractions in an equation?

• Adding the numerators

• Multiplying by the denominators

• Subtracting the denominators

• Dividing by the numerators

What is the least common denominator (LCM) used for in solving equations?

• To simplify equations by eliminating fractions

• To add fractions

• To find the greatest common factor

• To multiply fractions

When multiplying by the LCM, what must be done to maintain equivalent equations?

• Multiply both sides of the equation

• Multiply only the right side of the equation

• Add the LCM to both sides

• Multiply only the left side of the equation

In the example problem, what is the final simplified form of the equation?

• R + 1 / R + 4

• R + 3 / R + 1

• R + 4 / R + 2

• R + 2 / R + 3

What happens to the terms R + 3 in the final step of the example problem?

• They are added together

• They are divided out to one

• They are multiplied by the LCM

• They are subtracted from each other