Understanding Ratios and Continued Ratios

What is a ratio?

• A comparison between two quantities with different units

• A comparison between two different units

• A comparison between three quantities

• A comparison between two quantities with the same unit

How can a ratio be represented?

• Using a semicolon

• Using a colon or as a fraction

• Using a dash

• Using a plus sign

What must be done if one number in a ratio is multiplied?

• The other number must be subtracted

• The other number must remain the same

• The other number must also be multiplied

• The other number must be divided

What is a common member in the context of ratios?

• A number that is larger in one ratio

• A number that appears in both ratios

• A number that is only in one ratio

• A number that is smaller in one ratio

What is a continued ratio?

• A ratio that compares four quantities

• A ratio that compares one quantity

• A ratio that compares three or more quantities

• A ratio that compares two quantities

What must be done if the common member's values are unequal in two ratios?

• Divide the ratios to make the common member equal

• Add the ratios together

• Multiply the ratios to make the common member equal

• Subtract the smaller ratio from the larger one

How do you obtain the first number of a continued ratio?

• By subtracting the first number of the bottom ratio from the first number of the top ratio

• By multiplying the first number of the top ratio with the first number of the bottom ratio

• By dividing the first number of the top ratio by the first number of the bottom ratio

• By adding the first numbers of both ratios

In the exercise, what is the continued ratio of A to B to C if A to B is 3:2 and B to C is 5:4?

• 8:10:15

• 10:15:8

• 15:8:10

• 15:10:8

What is the first step in finding a continued ratio from two given ratios?

• Add the two ratios

• Write the ratios with the common member on top of each other

• Divide the two ratios

• Subtract the smaller ratio from the larger one

What is the final step in finding a continued ratio?

• Subtract the second number of the bottom ratio from the second number of the top ratio

• Add the second numbers of both ratios

• Multiply the second number of the top ratio with the second number of the bottom ratio

• Divide the second number of the top ratio by the second number of the bottom ratio