Exploring Ratios and Proportions

The video tutorial covers the concepts of ratios and proportions. It begins by explaining what a ratio is, using examples like the ratio of boys to girls in a class. The tutorial then discusses how to reduce ratios similarly to fractions. It introduces proportions as statements of equality between two ratios and demonstrates how to solve them using constant factors. The video also explains how to check if given ratios form a proportion and concludes with guidance on reading and interpreting proportions.

What is the simplest form of the ratio 12:16?

• 4:3

• 12:16

• 6:8

• 3:4

If the ratio of boys to girls is 3:4, how many girls are there if there are 9 boys?

• 10 girls

• 11 girls

• 12 girls

• 13 girls

What must be true for two ratios to form a proportion?

• They must be equal when simplified.

• They must be different.

• They must have the same denominator.

• They must be written as fractions.

How do you find the constant factor in a proportion?

• Multiply the terms of the ratio

• Divide the larger number by the smaller number

• Subtract the terms of the ratio

• Add the terms of the ratio

In a disproportional example, if the ratio of boys to girls is 3:4, why is the ratio 15:21 incorrect?

• Because 15 is not divisible by 3

• Because 21 is not divisible by 4

• Because 4 times 5 is not 21

• Because 3 times 5 is not 15

What is the correct number of girls if the ratio of boys to girls is 3:4 and there are 15 boys?

• 19 girls

• 21 girls

• 20 girls

• 18 girls

How do you read a proportion involving the ratio of dogs to cats, given as 2:3?

• 2 dogs for every 3 cats

• 3 dogs for every 2 cats

• 2 cats for every 3 dogs

• 3 cats for every 2 dogs

If there are 12 cats, how many dogs are there if the ratio of dogs to cats is 2:3?

• 8 dogs

• 18 dogs

• 6 dogs

• 9 dogs

What is the constant factor used to find the number of dogs if there are 12 cats and the ratio is 2:3?

• 4

• 2

• 5

• 3

What does a ratio of 2 to 3 as 8 to 12 represent?

• An addition

• A multiplication

• A fraction

• A proportion