Dividing Mixed Numbers and Fractions

In this video, Mr. J explains how to divide mixed numbers and whole numbers through two examples. The first example demonstrates dividing a mixed number by a whole number, while the second example covers dividing a whole number by a mixed number. Key steps include converting numbers to improper fractions, using the 'keep, switch, flip' method, and simplifying results. The video emphasizes the importance of cancellation to simplify calculations and provides a comparison of results with and without cancellation.

What is the first step in dividing mixed numbers and whole numbers?

• Subtract the smaller from the larger

• Convert them to improper fractions

• Add them together

• Multiply them directly

In the first example, what is the improper fraction equivalent of 8 and 2/3?

• 20/3

• 22/3

• 24/3

• 26/3

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

• Flipping the first fraction

• Flipping the operation sign

• Flipping both fractions

• Flipping the second fraction

Why is cancellation used before multiplying fractions?

• To simplify the numbers

• To make the numbers larger

• To avoid division

• To change the operation

What is the final simplified form of 13/3?

• 2 and 1/3

• 4 and 1/3

• 5 and 1/3

• 3 and 1/3

What is the result of 26 divided by 6 when simplified?

• 4 and 1/3

• 4 and 2/3

• 4 and 1/6

• 4 and 2/6

In the second example, what is the improper fraction form of 3 and 3/5?

• 18/5

• 15/5

• 17/5

• 20/5

What is the final answer for 7 divided by 3 and 3/5?

• 2 and 17/18

• 1 and 16/18

• 2 and 16/18

• 1 and 17/18

What is the common factor between 17 and 18 in the second example?

• 5

• 1

• 2

• 3

What is the purpose of converting mixed numbers to improper fractions?

• To simplify the division process

• To make the numbers larger

• To avoid multiplication

• To change the operation