The easy way to determine the lcd of two rational expressions and use it to find the sum

The video tutorial explains how to add rational expressions with unlike denominators. It begins by identifying the least common denominator (LCD) and discusses how to adjust fractions to have the same denominator. The tutorial then covers simplifying numerators using the distributive property and concludes with combining fractions that now share a common denominator.

What is the first step in adding rational expressions with unlike denominators?

• Multiply the numerators

• Simplify the fractions

• Identify the least common denominator (LCD)

• Add the denominators

When is it appropriate to multiply the denominators to find the LCD?

• When the denominators are already the same

• When the fractions are improper

• When the numerators are equal

• When the denominators are in simplified form

How do you adjust the numerators after finding the LCD?

• By dividing each numerator by the LCD

• By multiplying each numerator by the factor needed to achieve the LCD

• By adding a constant to each numerator

• By subtracting the smaller numerator from the larger one

What property is used to simplify the numerators before combining the fractions?

• Associative property

• Commutative property

• Distributive property

• Identity property

What is the final step after obtaining fractions with the same denominator?

• Subtract the numerators

• Combine the terms in the numerators

• Multiply the fractions

• Divide the fractions