How do you determine the LCD of rational expressions

The video tutorial explains the concept of the least common denominator (LCD) and its relation to the least common multiple (LCM). It covers how to find the LCD for fractions with different denominators by listing multiples and identifying the smallest shared multiple. The tutorial then extends these principles to polynomial expressions, highlighting the differences when dealing with variables. The video emphasizes understanding the process of finding the LCD to simplify expressions and solve equations effectively.

What is the primary purpose of finding the Least Common Denominator (LCD) when dealing with fractions?

• To simplify fractions

• To convert fractions to decimals

• To add fractions with unlike denominators

• To multiply fractions

When finding the LCD of two fractions, what is the first step you should take?

• List the multiples of each denominator

• Subtract the smaller denominator from the larger one

• Add the numerators

• Multiply the denominators

How do you create equivalent fractions with a common denominator using the LCD?

• By subtracting the numerators

• By dividing each fraction by the same number

• By multiplying each fraction by a suitable multiplier

• By adding the same number to both numerators

What is a common misconception about finding the LCD between two numbers?

• The LCD is always the product of the two numbers

• The LCD is the smallest number that is a multiple of both

• The LCD is the sum of the two numbers

• The LCD is the difference between the two numbers

When finding the LCD of polynomials, what is a key difference compared to finding the LCD of numbers?

• You only consider the variables

• You must consider both coefficients and variables

• You ignore the variables

• You only consider the coefficients