Solve an equation for x by clearing fractions with multiple steps

The video tutorial explains the concept of clearing fractions by using multiplication to eliminate fractions in an equation. It introduces inverse operations, demonstrating how division and multiplication can undo each other. The tutorial provides a step-by-step guide on how to multiply each term in an equation by a common multiple to clear fractions, ensuring equal treatment on both sides of the equation. Finally, it walks through solving the equation by isolating variables and simplifying the expression.

What is the purpose of clearing fractions in an equation?

• To add more fractions to the equation

• To simplify the equation by removing fractions

• To divide the equation by a common factor

• To change the equation into a fraction

Which operation is used to clear fractions from an equation?

• Division

• Subtraction

• Addition

• Multiplication

When clearing fractions, why must you multiply every term by the same number?

• To ensure the equation remains balanced

• To make the equation more complex

• To change the equation's solution

• To eliminate all variables

What is the result of multiplying 12 by 3/4 in the context of clearing fractions?

• 6

• 15

• 9

• 12

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

• Divide the equation by the largest number

• Add fractions back to the equation

• Move variables to one side

• Multiply all terms by zero