Simplifying Complex Fractions in Algebra

This video tutorial introduces algebra students to complex fractions, explaining that they are fractions divided by other fractions. The instructor demonstrates the Keep Change Flip method to simplify these fractions, providing several examples to illustrate the process. The video also explains why the Keep Change Flip method works, emphasizing the importance of multiplying by the reciprocal. Students learn to solve complex fractions by combining terms and simplifying expressions.

What is a complex fraction?

• A fraction with a numerator and denominator.

• A fraction divided by another fraction.

• A fraction with a decimal.

• A fraction with a whole number.

What does the fraction bar symbolize in a complex fraction?

• Subtraction

• Addition

• Multiplication

• Division

Tags

CCSS.3.NF.A.1

CCSS.3.NF.A.2B

What is the first step in solving a complex fraction using Keep Change Flip?

• Add the fractions

• Multiply the fractions

• Keep the first fraction

• Subtract the fractions

In the example problem (Letter A), what is the inverse of the bottom fraction 3x - 3 over x?

• 3 over x

• x over 3

• 3x - 3 over x

• x over 3x - 3

Tags

CCSS.HSF-BF.B.4A

Why can't you cancel the x in the numerator with the x in the denominator in the example problem (Letter A)?

• Because x is in the numerator

• Because x is in the denominator

• Because x is a constant

• Because x is not in every term

Tags

CCSS.HSA.APR.D.6

What is the purpose of multiplying by the reciprocal in Keep Change Flip?

• To add the fractions

• To subtract the fractions

• To cancel out the denominator

• To simplify the numerator

Tags

CCSS.6.NS.A.1

In the example problem (Letter B), what is the final simplified form?

• 2B over C

• B over CD

• 1 over 2D

• BC over 2BCD

Tags

CCSS.HSA.APR.D.7

In the example problem (Letter C), what common factor is pulled out from 3x - 9?

• 9

• x - 3

• x

• 3

Tags

CCSS.7.EE.A.1

What is the final simplified form in the example problem (Letter C)?

• 4x

• x - 3

• 12x

• 3x

Tags

CCSS.7.EE.A.1

In the example problem (Letter D), what is the combined form of the numerator 1/m + 5?

• 1 + 5m over m

• 1 over m

• 5m over m

• 1 + 5 over m

Tags

CCSS.HSA.APR.D.7