Solving Multi-Step Word Problems with Rational Numbers

The video tutorial covers solving multi-step word problems using fractions. It includes four problems: determining pet ownership among students, calculating food brought by party guests, managing money spent at a mall, and comparing cake slice sizes. The instructor emphasizes breaking down problems, using visual aids, and performing mathematical operations like multiplication and division of fractions.

How many students in total were surveyed in the first problem?

• 17

• 15

• 30

• 8

What fraction of the dog owners also own a cat?

• 1/3

• 3/4

• 2/3

• 1/2

How many students own only a cat in the first problem?

• 7

• 10

• 17

• 15

In the second problem, what fraction of the guests brought hamburgers and hot dogs?

• 1/2

• 3/8

• 2/3

• 1/4

How many guests brought a dessert in the second problem?

• 4

• 6

• 8

• 9

In the third problem, how much money did she spend on a purse?

• $5

• $9

• $18

• $12

How much money did she have left after all her expenses in the third problem?

• $4

• $6

• $10

• $8

What fraction of the chocolate cake was left before it was cut?

• 2/3

• 1/2

• 1/4

• 1/3

How many slices was the remaining chocolate cake cut into?

• 3

• 4

• 6

• 9

Which cake had the larger slice after being cut?

• Neither

• Vanilla

• Chocolate

• Both were equal