LCD of Fraction VS LCD of Rational Expression

The video tutorial explains the process of finding the least common denominator (LCD) for both fractions and rational expressions. It begins with a comparison of the two processes, emphasizing the importance of a common denominator when adding or subtracting fractions. The tutorial demonstrates the simplest method of multiplying denominators to find a common denominator, and then applies this method to both numerical fractions and polynomial expressions. It also covers more complex examples where simple multiplication does not yield the LCD, highlighting the need for factoring in such cases. The video aims to clarify these concepts to help students struggling with fractions and rational expressions.

What is the primary reason for finding a common denominator when adding or subtracting fractions?

• To ensure the numerators are equal

• To make the denominators the same

• To simplify the fractions

• To convert fractions to decimals

When finding the LCD for fractions, what is the simplest method mentioned?

• Adding the numerators

• Dividing the numerators

• Multiplying the denominators

• Subtracting the denominators

In the context of polynomials, why is it recommended to leave the LCD in factored form?

• It looks more complex

• It simplifies later calculations

• It is a requirement in algebra

• It is easier to multiply

What is the result of combining the numerators X + X and 3 + 2 in polynomial expressions?

• X + 2

• X + 5

• 2X + 5

• 2X + 3

Why might multiplying denominators not always yield the least common denominator?

• It is not applicable to fractions

• It may not be the smallest shared multiple

• It only works for even numbers

• It is too complex

What is a key advantage of factoring when finding the LCD in polynomials?

• It makes the expressions longer

• It simplifies the expressions

• It is only used for quadratic equations

• It eliminates the need for a common denominator

In the example of 1/2 and 1/6, what is the least common denominator?

• 12

• 3

• 2

• 6