Understanding Ratios and Their Simplification

The video tutorial introduces the concept of ratios, explaining how they compare two quantities of the same kind by division. It provides examples using kites and balloons, puppies and dogs, and a story problem involving cows and hens. The tutorial also covers how to express ratios as percentages, emphasizing the importance of reducing ratios to their simplest form.

What is a ratio?

• A comparison of two quantities by division

• A comparison of two quantities by multiplication

• A comparison of two quantities by subtraction

• A comparison of two quantities by addition

Why is comparison by division often more meaningful?

• It is always more accurate

• It provides a relative measure

• It is easier to calculate

• It is less time-consuming

How is the ratio of 5 kites to 7 balloons written?

• 7-5

• 5:7

• 7:5

• 5-7

In the ratio 5:7, what is the first term?

• 12

• 5

• 7

• 2

What is the first term in the ratio 7:5?

• 2

• 12

• 7

• 5

What is the second term in the ratio 5:7?

• 5

• 2

• 7

• 12

What is the ratio of balloons to kites?

• 5:7

• 7:5

• 5-7

• 7-5

How can the ratio of 13 puppies to 4 dogs be expressed?

• 4-13

• 13:4

• 4:13

• 13-4

Which of the following is NOT a way to write the ratio of 13 puppies to 4 dogs?

• 13 to 4

• 4:13

• 13/4

• 13:4

In the story problem, what is the ratio of hens to cows?

• 10:18

• 18:10

• 5:9

• 9:5