Understanding Ratios and Percentages

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, and puppies and dogs, to illustrate how ratios can be expressed in different formats. A story problem involving cows and hens is solved to demonstrate practical applications of ratios. The tutorial also covers how to express ratios as percentages, using examples like raw and ripe mangoes.

What is a ratio?

• A comparison of two quantities by addition

• A comparison of two quantities by division

• A comparison of two quantities by subtraction

• A comparison of two quantities by multiplication

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

• 5-7

• 5:7

• 7:5

• 7-5

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

• 7

• 5

• 2

• 12

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

• 13:4

• 4-13

• 4:13

• 13-4

What is the simplified form of the ratio 18 hens to 10 cows?

• 9:5

• 5:9

• 18:10

• 10:18

What is the ratio of cows to the total number of animals if there are 10 cows and 28 animals in total?

• 28:10

• 5:14

• 10:28

• 14:5

How is the ratio 35:100 expressed as a percentage?

• 35%

• 100%

• 70%

• 50%

What percentage does the ratio 15 raw mangoes to 100 ripe mangoes represent?

• 15%

• 100%

• 85%

• 50%

If a ratio is expressed as 15:100, what is its percentage form?

• 100%

• 85%

• 15%

• 50%

What is the process to convert a ratio to a percentage?

• Multiply by 100

• Subtract 100

• Divide by 100

• Add 100