Solving Equations with Fraction Busters

This video tutorial introduces the concept of fraction busters, a method for solving equations with fractions by eliminating the fractions through multiplication. The video provides three examples, each demonstrating the step-by-step process of determining a multiplier, applying it to both sides of the equation, and solving for the variable. The tutorial emphasizes understanding the method and encourages viewers to practice independently.

What is the main goal of using fraction busters in solving equations?

• To eliminate fractions from the equation

• To add fractions together

• To find the least common denominator

• To convert fractions to decimals

What is the first step in the fraction busters method?

• Combine like terms

• Isolate the variable

• Divide both sides by the multiplier

• Determine the multiplier

How is the multiplier determined in the fraction busters method?

• By adding all the denominators

• By finding the least common multiple of the denominators

• By dividing the largest denominator by the smallest

• By multiplying all the denominators together

In the first example, what is the multiplier for the denominators 2 and 5?

• 10

• 7

• 20

• 15

After determining the multiplier, what is the next step in solving the equation?

• Add the multiplier to both sides

• Multiply the multiplier to both sides

• Divide both sides by the multiplier

• Subtract the multiplier from both sides

In the first example, what is the value of x after solving the equation?

• 5

• 10

• 7

• 15

In the second example, what is the multiplier for the denominators 3 and 15?

• 60

• 75

• 45

• 30

What is the value of x in the second example after solving the equation?

• 18

• 10

• 12

• 15

In the final example, what is the multiplier for the denominators 2 and 3?

• 6

• 8

• 5

• 9

What is the value of x in the final example after solving the equation?

• 35

• 30

• 25

• 20