Finding LCM and Solving Equations

The video tutorial introduces the concept of fraction busting, a method to solve equations by eliminating fractions. It demonstrates this technique through four examples, each focusing on different aspects such as finding the least common multiple (LCM), simplifying equations, and combining like terms. The tutorial emphasizes the importance of understanding invisible denominators and provides step-by-step guidance to solve equations efficiently.

What is the main focus of the video tutorial?

• Solving linear equations without fractions

• Solving quadratic equations

• Solving equations with fractions using the fraction buster method

• Solving equations with decimals

What does LCM stand for?

• Lowest Common Multiple

• Least Common Measure

• Least Common Multiple

• Lowest Common Measure

Why is the LCM important in the fraction buster method?

• It simplifies the equation

• It is used to eliminate fractions by making denominators divisible

• It is used to find the greatest common divisor

• It helps in adding fractions

In the first example, what is the LCM of the denominators 4, 3, and 3?

• 15

• 9

• 6

• 12

What is the result of multiplying 12 by 3 in the first example?

• 60

• 24

• 36

• 48

After eliminating fractions in the first example, what is the equation simplified to?

• 9x + 32 = 108

• 9x + 32 = 120

• 9x + 32 = 150

• 9x + 32 = 140

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

• 12

• 10

• 11

• 13

In the second example, what is the LCM of the denominators 2, 1, and 1?

• 3

• 4

• 2

• 1

What is the simplified equation in the second example after eliminating fractions?

• 3x - 6 = 30

• 3x - 6 = 36

• 3x - 6 = 40

• 3x - 6 = 42

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

• 11

• 13

• 10

• 12