Finding a Common Denominator for Rational Expressions

The video tutorial teaches how to write rational expressions with a common denominator by connecting them to rational numbers. It begins with an introduction to the concept, followed by a detailed explanation of equivalent fractions using a number line. The tutorial then demonstrates how to rewrite fractions to have the same denominator, using both simple fractions and more complex rational expressions involving variables. The lesson concludes with an advanced example, solidifying the understanding of finding common denominators in various contexts.

What is the equivalent fraction of 5/10 when expressed with a denominator of 2?

• 5/2

• 2/5

• 10/5

• 1/2

How can you rewrite 1/3 and 1/2 to have the same denominator?

• Multiply 1/3 by 1/1 and 1/2 by 1/1

• Multiply 1/3 by 6/6 and 1/2 by 6/6

• Multiply 1/3 by 3/3 and 1/2 by 2/2

• Multiply 1/3 by 2/2 and 1/2 by 3/3

What is the result of multiplying 1/3 by 3/3?

• 1/1

• 3/6

• 3/3

• 1/3

To make 4/5x and 3x/6 have the same denominator, what should you multiply 3x/6 by?

• 5x/5x

• 6/6

• 3/3

• 4/4

What is the common denominator of 4/5x and 3x/6 after applying the method discussed?

• 15x

• 30x

• 6x

• 24x