Add and subtract fractions with unlike denominators for rational expressions

The video tutorial explains how to add and subtract rational expressions with unlike denominators. It begins with a simple example of adding fractions, emphasizing the importance of finding the least common denominator (LCD). The tutorial then progresses to more complex examples involving polynomials and binomials in the denominators, demonstrating the process of finding the LCD and combining fractions. The video aims to provide a clear understanding of handling rational expressions with different types of denominators.

What is the least common denominator (LCD) of the fractions 1/3 and 1/2?

• 5

• 3

• 2

• 6

When combining rational expressions like 3/(xy^2) + 7/y, what is the least common denominator?

• xy

• y^2

• xy^2

• x^2y

In the expression 3/(xy^2) + 7/y, what must be done to the second term to achieve a common denominator?

• Multiply by x/x

• Multiply by xy/xy

• Multiply by x/y

• Multiply by y^2/y^2

How do you find the least common denominator for expressions with binomial denominators like (x+1)(x-2) and 3/(x+4)?

• Subtract the binomials

• Divide the binomials

• Multiply the binomials

• Add the binomials

What is the least common denominator for the binomials (x+1), (x-2), and (x+4)?

• (x+1)(x-2)

• (x+1)(x-2)(x+4)

• (x-2)(x+4)

• (x+1)(x+4)