Mastering Fraction Busters in Equation Solving

The video tutorial introduces the method of 'fraction busting' to solve equations with fractions. It begins by explaining the complexity of dealing with fractions and introduces the concept of the least common multiple (LCM) to eliminate them. The tutorial demonstrates how to multiply each term in the equation by the LCM to create an equivalent equation without fractions. Finally, it shows how to solve the simplified two-step equation, providing a clear and structured approach to handling equations with fractions.

What is the primary method called that is used to solve equations with fractions in this tutorial?

• Fraction simplification

• Fraction elimination

• Fraction reduction

• Fraction busting

What is the purpose of identifying the least common multiple (LCM) in this method?

• To simplify the equation

• To add fractions together

• To divide the fractions

• To eliminate the fractions

What is the LCM of 4 and 6?

• 24

• 12

• 6

• 4

How do you transform the equation using the LCM?

• By dividing each term by the LCM

• By subtracting the LCM from each term

• By adding the LCM to each term

• By multiplying each term by the LCM

What does multiplying each term by the LCM achieve?

• It increases the complexity of the equation

• It creates an equivalent equation without fractions

• It simplifies the equation

• It changes the solution of the equation

After multiplying by the LCM and simplifying, what type of equation do we get?

• A quadratic equation

• A linear equation with fractions

• A two-step equation without fractions

• A complex fraction

What is the simplified form of 12x divided by 4?

• 9x

• 4x

• 12x

• 3x

What is the result of 60 divided by 6?

• 10

• 60

• 6

• 12

What is the final step in solving the equation after fraction busting?

• Identifying the LCM again

• Solving the two-step equation

• Multiplying by the LCM once more

• Dividing each term by the LCM

What is the value of the equation on the right side after multiplying by 12?

• 84

• 72

• 108

• 96