Learn to solve an equation with rational expressions

The video tutorial explains how to solve equations involving fractions by eliminating denominators using the least common multiple (LCM). It provides a detailed example, demonstrating the process of multiplying each term by the LCM to simplify the equation. The tutorial also covers the application of the distributive property to solve the equation, ensuring students understand each step involved in the process.

What is the purpose of multiplying an equation by the least common denominator?

• To eliminate the denominators

• To change the equation completely

• To add more fractions

• To make the equation more complex

How does multiplying by the least common multiple affect the equation?

• It makes the equation unsolvable

• It keeps the equation equivalent but simplifies it

• It changes the equation to a different one

• It adds more variables to the equation

In the new example, what is the least common multiple of 10 and 2?

• 15

• 5

• 20

• 10

Why is it important to multiply every term by the least common multiple?

• To produce equivalent equations

• To change the equation completely

• To ensure all terms are eliminated

• To make the equation more complex

What property is applied after multiplying by the least common multiple?

• Associative property

• Commutative property

• Distributive property

• Identity property

What is the final solution for the variable X in the equation?

• X = 1

• X = 8

• X = 4

• X = 2

What is the first step in solving the equation after applying the distributive property?

• Add all terms together

• Divide all terms by 4

• Subtract 57 from both sides

• Multiply all terms by 2