Understanding Complex Fractions

The video tutorial explains how to simplify complex fractions by recognizing that a fraction bar represents division. It demonstrates converting a division problem into a multiplication problem using the reciprocal of the divisor. The tutorial further simplifies the expression by identifying and canceling common factors through prime factorization, resulting in a simplified fraction. The process is broken down into clear steps to make it easy to understand.

What is a complex fraction?

• A fraction with a variable

• A fraction with a negative number

• A fraction within a fraction

• A fraction with a decimal

What does a fraction bar represent?

• Addition

• Subtraction

• Multiplication

• Division

How can a complex fraction be rewritten?

• As an addition problem

• As a subtraction problem

• As a division problem

• As a multiplication problem

What is the reciprocal of 15/16?

• 16/15

• 15/16

• 1/16

• 1/15

What is the prime factorization of 16?

• 2 * 8

• 2 * 2 * 2 * 2

• 1 * 16

• 4 * 4

Which method helps in identifying common factors?

• Writing in exponential form

• Writing in fractional form

• Writing in prime factored form

• Writing in decimal form

What is a common factor between 3 and 15?

• 1

• 3

• 2

• 5

How many factors of 2 are common between 4 and 16?

• Two

• Four

• Three

• One

What is the simplified form of the numerator 2 * 2?

• 2

• 3

• 4

• 5

What is the denominator in the final simplified form?

• 2

• 5

• 3

• 4