Dividing Fractions and Mixed Numbers

In this video, Mr. J explains how to divide fractions by mixed numbers using two examples. The process involves converting mixed numbers to improper fractions, applying the 'keep, switch, flip' method, and checking for simplification opportunities. The video demonstrates these steps with detailed explanations and calculations, ensuring viewers understand how to achieve the correct answers.

What is the first step in dividing fractions by mixed numbers?

• Convert mixed numbers to improper fractions

• Multiply the fractions directly

• Subtract the fractions

• Add the fractions

In the first example, what is the improper fraction form of 2 2/5?

• 14/5

• 11/5

• 10/5

• 12/5

What does the 'keep-switch-flip' method involve?

• Keeping the first fraction, switching to addition, and flipping the second fraction

• Keeping the first fraction, switching to multiplication, and flipping the second fraction

• Keeping the first fraction, switching to subtraction, and flipping the second fraction

• Keeping the first fraction, switching to division, and flipping the second fraction

What is the final answer for the division of 1/4 by 2 2/5?

• 5/48

• 1/48

• 5/12

• 1/12

In the second example, what is the improper fraction form of 6 2/3?

• 19/3

• 20/3

• 18/3

• 22/3

What is the purpose of cross-cancellation in fraction division?

• To simplify the fractions before multiplying

• To subtract the fractions

• To convert fractions to mixed numbers

• To add the fractions

What is the final answer for the division of 5/8 by 6 2/3?

• 5/20

• 3/20

• 5/32

• 3/32

What is the greatest common factor used to simplify 15/160 in the alternative method?

• 15

• 10

• 3

• 5

What is the benefit of using cancellation before multiplying fractions?

• It eliminates the need for further calculations

• It simplifies the numbers, making calculations easier

• It converts fractions to decimals

• It changes the operation to addition

What is the final step in the alternative method without using cancellation?

• Simplifying the result after multiplication

• Adding the fractions

• Converting the result to a mixed number

• Subtracting the fractions