Dividing Mixed Numbers and Fractions

The video tutorial explains how to divide mixed numbers by fractions using two methods. The first method involves converting mixed numbers into improper fractions and using the 'keep change flip' technique. The second method involves simplifying complex fractions by converting mixed numbers into whole numbers and fractions. The tutorial provides three examples to illustrate these methods, demonstrating the conversion process, multiplication, and simplification steps. The video concludes with a summary of the methods and encourages viewers to explore additional resources for further learning.

What is the first step in dividing a mixed number by a fraction using the first method?

• Multiply the mixed number by the fraction

• Convert the mixed number to an improper fraction

• Add the mixed number to the fraction

• Convert the mixed number to a decimal

In the first example, what is the improper fraction form of 8 and 2/5?

• 42/5

• 40/5

• 45/5

• 38/5

What is the result of simplifying 42/5 divided by 3/4 using the first method?

• 11 and 2/5

• 12 and 3/5

• 10 and 2/5

• 11 and 1/5

In the second example, what is the improper fraction form of 9 and 3/7?

• 66/7

• 63/7

• 69/7

• 60/7

What is the result of simplifying 66/7 divided by 5/6 using the first method?

• 11 and 10/35

• 10 and 10/35

• 12 and 12/35

• 11 and 11/35

What is the second method of dividing mixed numbers by fractions introduced in the video?

• Using addition

• Using complex fractions

• Using decimals

• Using whole numbers only

In the second method, what is the purpose of multiplying by a common multiple?

• To divide fractions

• To eliminate smaller fractions

• To convert fractions to decimals

• To add fractions together

In the final example, what is the result of simplifying the complex fraction using the second method?

• 11 and 8/10

• 13 and 7/10

• 12 and 9/10

• 10 and 6/10

What is the benefit of using the second method over the first method?

• It is more accurate

• It uses fewer steps

• It avoids improper fractions

• It is faster

What is the final answer for the third example using the second method?

• 12 and 9/10

• 10 and 3/5

• 11 and 1/5

• 13 and 2/5