Solving Equations with Fractions

This video tutorial explains how to solve equations involving fractions by isolating the variable. It covers clearing fractions using the least common denominator, simplifying the equation, and isolating the variable through addition, subtraction, and division. The tutorial concludes with verifying the solution by substitution to ensure accuracy.

What is the first step in solving an equation with fractions?

• Divide by the largest denominator

• Multiply by the least common denominator

• Add fractions to both sides

• Isolate the variable

Why do we multiply both sides of an equation by the least common denominator?

• To add more fractions

• To clear the fractions from the equation

• To increase the value of the variable

• To make the equation more complex

What is the least common multiple of 9 and 3?

• 9

• 3

• 12

• 6

What happens when you multiply both sides of an equation by 9?

• The variable is isolated

• The fractions are cleared

• The equation becomes unsolvable

• The equation becomes more complex

After clearing fractions, what is the next step in solving the equation?

• Add fractions back

• Isolate the variable terms

• Multiply by another number

• Divide by the variable

How do you isolate the variable term in an equation?

• Multiply both sides by zero

• Divide both sides by the variable

• Subtract the same term from both sides

• Add the same term to both sides

What is the result of dividing both sides of the equation by -4?

• The variable becomes zero

• The equation becomes unsolvable

• The variable is isolated

• The fractions return

What is the solution to the equation after all steps are completed?

• x = 0

• x = 9/4

• x = -9/4

• x = 4/9

How can you verify that the solution to the equation is correct?

• By changing the variable

• By checking if both sides of the equation are equal

• By adding more fractions

• By multiplying by a different number

What is the final value of the expression on both sides of the equation after substitution?

• 2

• 1

• -0.5

• 0