Solving Equations and Fractions

The video tutorial focuses on clearing fractions in equations by finding the least common denominator (LCD). It provides multiple examples to demonstrate the process of identifying the LCD and using it to simplify equations. The tutorial also emphasizes the importance of clearing parentheses before dealing with fractions. By the end, viewers should be able to solve equations with fractions more efficiently.

Why is it important to clear fractions in equations?

• It changes the solution of the equation.

• It is required for all mathematical operations.

• It makes the equation more complex.

• It makes the equation easier to solve.

What is the first step in finding the LCD of a set of fractions?

• Divide the largest denominator by the smallest.

• List the prime factors of each denominator.

• Multiply all the denominators together.

• Add all the denominators together.

What is the LCD of the numbers 2, 4, 3, and 6?

• 12

• 6

• 18

• 24

After finding the LCD, what should you do next in an equation?

• Add the LCD to both sides.

• Divide both sides by the LCD.

• Multiply both sides by the LCD.

• Subtract the LCD from both sides.

What is the result of multiplying 12 by 1/2?

• 24

• 3

• 6

• 12

What is the next step after clearing fractions in an equation?

• Add fractions back to the equation.

• Solve for the variable.

• Divide the equation by the variable.

• Recalculate the LCD.

In the equation 15x - 20 = 10, what is the value of x?

• 4

• 3

• 2

• 1

What is the LCD of the numbers 6, 8, 12, and 3?

• 24

• 36

• 12

• 18

What is the result of multiplying 24 by 5/6?

• 24

• 18

• 20

• 30

What is the final value of y in the equation -y - 2 = 8?

• -10

• 8

• 10

• -8