Eliminating Fractions in Equation Solving

The video tutorial explains how to work with fractions by eliminating them through clearing denominators. It demonstrates solving equations by multiplying through the common denominator and using the reciprocal, or multiplicative inverse, to simplify equations. An alternative approach is shown by distributing fractions across terms. The tutorial concludes with a summary and encourages viewers to explore more math tutorials.

What is the first step in eliminating fractions from an equation?

• Adding the fractions

• Dividing the fractions

• Clearing the denominator

• Multiplying the fractions

What is the smallest number that 3, 2, and 6 all divide into evenly?

• 2

• 6

• 3

• 12

When multiplying an entire equation by a number, how should you treat the number?

• As a whole number

• As a decimal

• As a percentage

• As a fraction over 1

What happens to the denominators when you multiply the entire equation by the common denominator?

• They get eliminated

• They get added

• They remain the same

• They get subtracted

What is the result of 6 divided by 2 in the context of the given equation?

• 1

• 2

• 4

• 3

What is the multiplicative inverse of 3/5?

• 5/3

• 3/5

• 1/3

• 5/1

What should you do to both sides of the equation when using the multiplicative inverse?

• Add the same number

• Divide by the reciprocal

• Subtract the same number

• Multiply by the reciprocal

What is the result of 3/5 times 10?

• 8

• 5

• 2

• 6

What is the final value of x in the equation 3/5(x + 10) = 18?

• 10

• 25

• 15

• 20

What is the alternative method to solve the equation 3/5(x + 10) = 18?

• Multiplying fractions

• Adding fractions

• Distributing the fraction

• Subtracting fractions