Multiplying by your LCM to divide two rational expressions

The video tutorial covers solving equations by adding and dividing, introduces the fraction busting method using the least common multiple (LCM), and applies these concepts to rational expressions. The teacher explains how to simplify expressions using the distributive property and concludes with a final simplification example.

What is the purpose of adding and dividing equations as mentioned in the introduction?

• To increase the number of terms

• To eliminate all variables

• To simplify the equation into a rational expression

• To create a complex expression

What is the main goal of fraction busting?

• To add more fractions

• To eliminate fractions by using the LCM

• To multiply fractions by random numbers

• To divide fractions into smaller parts

What happens when you multiply both sides of an equation by the LCM?

• The equation becomes more complex

• The equation remains equal

• The equation becomes invalid

• The equation loses its variables

How does multiplying the numerator and denominator by the same number affect a fraction?

• It makes the fraction invalid

• It changes the value of the fraction

• It keeps the fraction equivalent

• It doubles the fraction

What must be done to maintain equivalent fractions when dealing with rational expressions?

• Multiply by different numbers

• Add the same number to both numerator and denominator

• Multiply both numerator and denominator by the same number

• Divide the numerator by the denominator

What is the role of the distributive property in simplifying rational expressions?

• To add more terms to the expression

• To divide the expression into smaller parts

• To simplify the expression by distributing terms

• To eliminate all variables

Why can't you simply divide terms separated by addition in a rational expression?

• Because addition makes them inseparable

• Because it would change the expression's value

• Because it would simplify the expression

• Because it would eliminate the terms