Exploring Complex Fractions and Their Operations

This video tutorial explains complex fractions, which are fractions within fractions. It introduces the Keep Switch Flip method to simplify these fractions, emphasizing the importance of factoring to cancel terms. The video provides multiple examples, each demonstrating different techniques such as handling variables, exponents, and negative factors. Students are encouraged to practice these methods to master the simplification of complex fractions.

What is a complex fraction?

• A fraction with a variable

• A fraction with a decimal

• A fraction within a fraction

• A fraction with a numerator and denominator

What method is used to simplify complex fractions?

• Keep-Switch-Flip

• Add-Subtract-Multiply

• Flip-Switch-Keep

• Multiply-Divide-Add

In Example 1, what is the simplified form of a/2 over a^2/4?

• 4/a

• a/4

• 2/a

• a/2

In Example 2, what is the simplified form of 6/xy over 3y/8x^3?

• 16x^2/y^2

• 48x^3/3xy^2

• 16x^2/3y^2

• 6x^2/8y

In Example 3, what is the GCF of the denominator 8p - 2?

• p

• 8

• 2

• 4

In Example 4, what is the simplified form of k^2 over k^2 - 1?

• k/(k^2-1)

• k/(k-1)

• k/(k+1)(k-1)

• k/(k+1)

In Example 5, what is the simplified form of b + 2 over b^2 + 6b + 8?

• b + 6

• b - 5

• b + 4

• b - 2

In Example 6, what is the GCF of the numerator 15(1 - R)?

• R

• 1

• 12

• 15

In Example 7, what is the simplified form of 2(9m) over 3m^2?

• 6/m

• 18/m

• 3/m

• 9/m

In Example 8, what is the GCF of the denominator m^2?

• m

• 9

• 2

• m^2