Finding Least Common Denominators

The video tutorial explains how to add fractions with common denominators, find common denominators for rational expressions, and use factoring to determine the least common denominator. It also covers applying the distributive property to simplify expressions and combining fractions with the same denominator.

What is the first step when adding fractions with common denominators?

• Subtract the numerators

• Multiply the fractions

• Add the denominators

• Add the numerators

How can you find the least common denominator when adding rational expressions?

• Subtract the numerators

• Add the denominators

• Multiply the denominators

• Divide the numerators

What is the first step in solving a rational expression?

• Subtract the denominators

• Add the numerators

• Multiply the fractions

• Find the least common denominator

Why is multiplying denominators not always the best method to find the least common denominator?

• It always results in the largest number

• It only works for even numbers

• It is too complicated

• It may not give the smallest common denominator

What is the least common denominator of 9 and 3?

• 3

• 27

• 18

• 9

What should you do if you have an opportunity to factor when finding the least common denominator?

• Add the terms

• Multiply the terms

• Ignore it

• Always look to factor

What is the result of factoring x^2 - 9?

• x - 3

• x + 3

• x - 3 times x + 3

• x^2 + 9

After factoring, what is the least common denominator of x^2 - 9 and x - 3?

• x^2 - 9

• x + 3

• x - 3

• x - 3 times x + 3

What must you do to the numerator if you multiply the denominator by a factor?

• Subtract the same factor from the numerator

• Divide the numerator by the same factor

• Add the same factor to the numerator

• Multiply the numerator by the same factor

What is the purpose of finding a common denominator?

• To simplify the fractions

• To make the fractions larger

• To separate the fractions

• To combine the fractions