Learn to solve a rational function by multiplying by the LCD

The video tutorial explains how to simplify equations by finding and using the Least Common Denominator (LCD). It begins with an introduction to the concept of LCD, followed by a step-by-step guide on how to identify and calculate it. The tutorial then demonstrates how to use the LCD to simplify complex equations, making them easier to solve. Finally, it shows the process of solving the simplified equation, emphasizing the importance of leaving answers in fractional form rather than converting to decimals.

What is the first step you should take when dealing with fractions in an equation?

• Identify the Least Common Denominator (LCD)

• Convert fractions to decimals

• Add all the fractions together

• Multiply all terms by the largest denominator

Why is multiplying each term by the LCD helpful in solving equations?

• It allows all denominators to divide evenly

• It changes the equation to a quadratic form

• It makes the equation longer

• It eliminates all variables

After simplifying the equation using the LCD, what type of equation do you end up with?

• A two-step equation

• An exponential equation

• A linear equation with fractions

• A quadratic equation

What should you do after obtaining the solution in fractional form?

• Add all terms together

• Multiply it by the LCD again

• Leave it as a fraction

• Convert it to a decimal

What is the final solution to the equation after simplification and solving?

• X equals 1/3

• X equals 10/3

• X equals 3

• X equals 10