Dividing Fractions and Mixed Numbers Explained

This video tutorial explains how to divide positive and negative fractions and mixed numbers. It covers converting mixed numbers to improper fractions, applying integer rules, and using the reciprocal for division. Several examples demonstrate these concepts, including dividing mixed numbers and fractions with different signs. The tutorial concludes with a real-world application involving a food truck calculating hamburger portions.

What is the first step in dividing mixed numbers?

• Subtract the fractions

• Add the fractions

• Multiply the fractions directly

• Convert mixed numbers to improper fractions

What should you do after converting mixed numbers to improper fractions?

• Keep the fractions the same

• Subtract the fractions

• Add the fractions

• Change the division to multiplication

How do you handle a negative times a negative when dividing fractions?

• The result is undefined

• The result is positive

• The result is negative

• The result is zero

What is the reciprocal of 1/7?

• 1/7

• 1/1

• 7/1

• 7/7

In the example of 8/3 divided by 1/7, what is the final result?

• 18 and 2/3

• 56/3

• 7/1

• 8/3

What is the result of -11/18 divided by 1 5/6?

• -1/3

• 11/18

• 1/6

• -11/6

When dividing 17/3 by -6, what is the final result?

• -17/18

• 17/18

• -6/1

• 6/17

What is the result of 14/5 divided by -8/21?

• 14/5

• 2/3

• -1 and 1/15

• -8/21

How many 1/4 pound hamburgers can be made from 27 3/4 pounds of hamburger?

• 111

• 4

• 27

• 3

What is the improper fraction form of 27 3/4?

• 3/4

• 27/4

• 108/4

• 111/4