Converting and Multiplying Fractions

In this video, Mr. J explains how to divide mixed numbers by fractions using two examples. The process involves converting mixed numbers to improper fractions, applying the 'keep, switch, flip' method, and simplifying the results. The video emphasizes the importance of simplification through cancellation to make calculations easier. Mr. J demonstrates each step clearly, ensuring viewers understand how to arrive at the correct answer.

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

• Subtract the fractions

• Convert mixed numbers to improper fractions

• Multiply the fractions directly

• Add the fractions

How do you convert a mixed number to an improper fraction?

• Subtract the numerator from the denominator

• Multiply the whole number by the denominator and add the numerator

• Divide the numerator by the denominator

• Add the numerator and denominator

What does the 'Keep, Switch, Flip' method involve?

• Flipping the first fraction only

• Switching both fractions

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

• Keeping both fractions the same

Why is cancellation useful before multiplying fractions?

• It simplifies the problem, making it easier to work with

• It makes the numbers larger

• It eliminates the need for multiplication

• It changes the fractions to whole numbers

What is the result of 11 times 3 in the first example?

• 33

• 15

• 5

• 22

How do you convert an improper fraction back to a mixed number?

• Add the numerator and denominator

• Divide the numerator by the denominator and find the remainder

• Multiply the numerator by the denominator

• Subtract the denominator from the numerator

In the alternative method, what is the result of 11 times 6?

• 30

• 66

• 11

• 60

What is the greatest common factor used to simplify 6 and 10?

• 5

• 3

• 2

• 10

In the second example, what is the improper fraction form of two and four ninths?

• 22/9

• 18/9

• 2/9

• 4/9

What is the final answer for the second example problem?

• Three and two thirds

• Two and one third

• Four and one fifth

• Five and one half