Dividing Mixed Numbers and 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 result. The video emphasizes the use of cancellation to simplify calculations and demonstrates how to convert improper fractions back to mixed numbers. The video concludes with a summary of the steps and encourages practice.

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

• Convert mixed numbers to improper fractions

• Multiply the fractions directly

• Add the fractions

• Subtract the fractions

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

• Add the numerator and denominator

• Divide the numerator by the whole number

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

• Subtract the numerator from the denominator

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

• Keeping both fractions the same

• Flipping the first fraction only

• Switching both fractions

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

Why is cancellation useful before multiplying fractions?

• It eliminates the need for multiplication

• It makes the numbers larger

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

• It changes the fractions to whole numbers

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

• 5

• 22

• 15

• 33

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

• Divide the numerator by the denominator and find the remainder

• Multiply the numerator by the denominator

• Add the numerator and denominator

• Subtract the denominator from the numerator

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

• 11

• 30

• 60

• 66

What is the greatest common factor used for cancellation in the second example?

• 6

• 3

• 2

• 5

What is the final mixed number result for the second example?

• Four and one-third

• Five and a half

• Six and three-fifths

• Three and two-thirds

What is the purpose of the 'Keep, Switch, Flip' method?

• To subtract fractions

• To add fractions

• To simplify the process of dividing fractions

• To convert fractions to decimals