Understanding Least Common Denominator

The video tutorial explains how to solve equations with fractions by eliminating the fractions. It introduces the concept of the least common denominator (LCD) and demonstrates how to use it to simplify fractions. The tutorial then guides through solving the simplified equation step-by-step, resulting in a solution for the variable x.

Why is it beneficial to eliminate fractions when solving equations?

• It makes the equation more complex.

• It makes the equation harder to solve.

• It simplifies the equation.

• It increases the number of terms.

What is the least common denominator (LCD)?

• The smallest number that all denominators divide into.

• The product of all denominators.

• The sum of all denominators.

• The largest number that divides all denominators.

How do you determine the LCD for the denominators 3, 6, and 12?

• Multiply all the denominators together.

• Add all the denominators together.

• Find the smallest number that all three divide into.

• Find the largest number that divides all three.

What is the first step after determining the LCD?

• Divide each term by the LCD.

• Subtract the LCD from each term.

• Add the LCD to each term.

• Multiply each term by the LCD.

What happens when you multiply each term by the LCD?

• The equation remains unchanged.

• The equation becomes more complex.

• The numerators are eliminated.

• The denominators are eliminated.

How many times does 3 divide into 12?

• 6 times

• 3 times

• 2 times

• 4 times

After eliminating the denominators, what is the next step?

• Reintroduce the denominators.

• Add all terms together.

• Solve for the variable.

• Multiply all terms by a new number.

What operation is used to isolate the variable after simplifying the equation?

• Subtraction

• Multiplication

• Division

• Addition

What is the final value of x in the equation?

• 11/12

• 28/11

• 12/11

• 11/28

Why is it important to check your solution after solving the equation?

• To introduce new variables.

• To change the original equation.

• To make the equation more complex.

• To ensure the solution is correct.