Algebra 2 - How to add two rational monomials by finding the LCM ( 3y/2x^3) + (5z/8xy^2)

The video tutorial covers the basics of fractions, emphasizing the importance of finding the least common multiple (LCM) to add fractions correctly. It explains common mistakes made when adding fractions and demonstrates how to apply the concept of LCM to rational expressions. The tutorial concludes with a step-by-step process of combining rational expressions using LCM, ensuring that denominators are equal before adding numerators.

Explain why you cannot simply add fractions without finding a common denominator.

What is the least common multiple (LCM) of the denominators 3 and 4?

How do you convert the fractions 8/12 and 3/12 into a single fraction?

What is the process to find the LCM of the numbers 2 and 8?

What do you need to multiply by to make the expression X into X^3?

Describe the importance of writing out the LCM when solving problems with fractions.

When combining rational expressions, what must be true about their denominators?