Exploring Equivalent Ratios and Fractions

The video tutorial introduces the concept of ratios as a comparison by division. It demonstrates how to create and simplify equivalent ratios using visual models, tables, and fractions. Examples include a gumball machine, a math quiz, a skyscraper model, and candy ratios. The tutorial emphasizes finding multiplicative relationships to maintain equivalent ratios and using inverse operations to solve problems.

What is a ratio?

• A comparison by subtraction

• A comparison by division

• A comparison by addition

• A comparison by multiplication

If the ratio of green to yellow gumballs is 2:1 and there are 6 green gumballs, how many yellow gumballs are there?

• 3

• 4

• 1

• 2

What is the equivalent ratio of 2:1 when there are 6 green gumballs?

• 6:2

• 6:3

• 6:4

• 6:5

If Ashley missed 9 questions on her math quiz, how many questions did she get right if the ratio of incorrect to correct answers is 3:7?

• 27

• 24

• 21

• 18

To maintain the ratio of 3:7, if the number of missed questions is multiplied by 3, what should be done to the number of correct answers?

• Subtract 3

• Add 3

• Multiply by 3

• Divide by 3

If the height of a building is 2100 ft, how many inches will the architect draw it on paper using a ratio of 1 inch to 1000 ft?

• 3.1 inches

• 2.5 inches

• 2.1 inches

• 1.5 inches

What is the inverse operation of multiplying by 1000?

• Adding 1000

• Subtracting 1000

• Dividing by 1000

• Multiplying by 100

If the original ratio of green to pink candies is 6:8, what is the equivalent ratio when the total number of candies is 42?

• 21:28

• 15:20

• 12:16

• 18:24

How many green candies are there if the total number of candies is 7 and the original ratio is 6:8?

• 3

• 2

• 4

• 5

What is the total number of candies in the original ratio of 6 green to 8 pink candies?

• 16

• 14

• 12

• 18