LCM and Multiplication of Variables

The video tutorial explains how to add and subtract rational terms by ensuring they have the same least common multiple (LCM). It covers the process of finding the LCM for numbers and variables, applying it to fractions, and ensuring equivalent equations. The tutorial emphasizes the importance of multiplying both the numerator and denominator to maintain equivalence and concludes with finalizing the solution.

Why is it important to have the same LCM when adding or subtracting rational terms?

• To simplify the multiplication process

• To avoid using variables

• To make the calculation faster

• To ensure the fractions are equivalent

What is the LCM of the numbers 6 and 4?

• 14

• 8

• 10

• 12

How do you determine the LCM for variables like c^2 and c?

• Choose the variable with the highest power

• Add the powers together

• Choose the variable with the lowest power

• Multiply the powers together

What is the LCM for d and d^3?

• d

• d^2

• d^3

• d^4

What is the smallest multiple that both 6 and 4 divide into?

• 14

• 12

• 10

• 8

What is the smallest value of c that c^2 and c both divide into?

• c

• c^4

• c^2

• c^3

What is the smallest value that both d and d^3 divide into?

• d^4

• d

• d^2

• d^3

What should you do to both the numerator and denominator to adjust fractions to the LCM?

• Divide by the same factor

• Subtract the LCM

• Add the LCM

• Multiply by the same factor

What is the first step in adjusting fractions to have the same LCM?

• Add the LCM to the numerator

• Subtract the LCM from the denominator

• Determine what to multiply each fraction by

• Divide the numerator by the LCM

What do you need to multiply 6 by to get 12?

• 3

• 1

• 4

• 2