Clearing Fractions in Equations

The video tutorial from Moomoomath explains how to solve equations with variables on both sides, focusing on those with fractional coefficients. It provides three examples, each demonstrating a different approach to clearing fractions and solving for the variable. The tutorial emphasizes finding a common denominator, distributing it across the equation, and simplifying to solve for the variable. The video concludes with a summary of the methods used to solve these types of problems.

What is the first step in solving equations with variables on both sides and fractional coefficients?

• Multiply each term by the common denominator.

• Subtract the fractions from each other.

• Divide each term by the common denominator.

• Add the fractions together.

What is the result of simplifying 4/1 times 1/4 in the first example?

• 4

• 0

• 1

• 1/4

After clearing fractions in the first example, what is the next step?

• Multiply by the variable.

• Add the coefficients.

• Divide by the variable.

• Collect like terms.

In the second example, what is the common denominator used to clear fractions?

• 2

• 5

• 3

• 4

What is the result of dividing -2 by -14 in the second example?

• 1/2

• 1/7

• 2/7

• 1/14

In the third example, what is the least common denominator for the denominators 5, 4, and 10?

• 25

• 15

• 20

• 10

What happens to the fractions when you multiply by the least common denominator?

• They are subtracted.

• They are added together.

• They are cleared.

• They become larger.

After clearing fractions in the third example, what is the next step?

• Multiply by the variable.

• Combine like terms.

• Add the constants.

• Divide by the constant.

What is the final value of x in the third example?

• 2

• 3

• 5

• 4

What is the purpose of finding the least common denominator in these examples?

• To add fractions together.

• To clear fractions from the equation.

• To multiply fractions.

• To divide fractions.