Prime Factorization and Simplifying Fractions

The video tutorial explains how to simplify fractions that include variables by applying the same rules used for numerical fractions. It begins with an introduction to the concept, followed by a demonstration of prime factorization using factor trees. The tutorial then shows how to identify and cancel common factors between the numerator and denominator. An advanced example is provided, illustrating the process with more variables, emphasizing that the method remains consistent regardless of complexity.

What is the main goal when simplifying fractions with variables?

• To eliminate common factors

• To make the fraction larger

• To remove all variables

• To change the fraction to a decimal

Tags

CCSS.HSA.APR.D.6

What is the prime factorization of 18?

• 1 x 18

• 2 x 3 x 3

• 3 x 6

• 2 x 9

Tags

CCSS.4.OA.B.4

Which of the following is a prime factor of 30?

• 4

• 5

• 8

• 6

Tags

CCSS.6.EE.A.1

What is the simplified form of the fraction 18x/30x?

• 5/6

• 6/5

• 5/3

• 3/5

Tags

CCSS.6.EE.A.1

What is the prime factorization of 54?

• 3 x 3 x 6

• 2 x 3 x 3 x 3

• 2 x 27

• 2 x 3 x 9

Tags

CCSS.4.OA.B.4

Which number is a prime factor of 63?

• 6

• 7

• 9

• 8

Tags

CCSS.HSA.APR.D.6

How many factors of 'a' are common in the fraction 54a^3b^2/63a^5b?

• 1

• 5

• 2

• 3

Tags

CCSS.HSA.APR.D.6

What is the simplified form of the fraction 54a^3b^2/63a^5b?

• 6b/7a^2

• 7a^2/6b

• 6a^2/7b

• 7b/6a^2

Tags

CCSS.HSA.APR.D.6

What remains in the numerator after simplifying 54a^3b^2/63a^5b?

• 2 x 3 x b

• 2 x 3 x a

• 3 x 3 x b

• 3 x 3 x a

Tags

CCSS.HSA.APR.D.6

What is the denominator of the simplified fraction 54a^3b^2/63a^5b?

• 7a^2

• 6a^2

• 7b

• 6b

Tags

CCSS.HSA.APR.D.6