Understanding Ratios and Proportions

The video tutorial explains the concept of proportions, focusing on determining if two ratios are proportional using methods like simplification and cross multiplication. It provides examples to illustrate these methods and discusses the importance of equivalent fractions and consistent units in solving proportions. The tutorial also covers using a common denominator to compare ratios and solving proportions with variables using cross products.

What does it mean when two ratios are said to be proportional?

• They are equivalent.

• They are different.

• They have the same denominator.

• They have the same numerator.

Which method involves reducing the ratios to their simplest form to check for proportionality?

• Subtraction

• Cross Multiplication

• Simplification

• Addition

What is the result of simplifying the ratio 24/51?

• 8/17

• 3/17

• 1/2

• 24/51

If 150/305 is compared to 90/63, are they proportional?

• No, they are not proportional.

• Yes, they are proportional.

• Only 90/63 is proportional.

• Only 150/305 is proportional.

What is the simplified form of the ratio 90/63?

• 9/7

• 10/7

• 7/10

• 63/90

In the example of 12 servings of rice requiring 3 cups of rice and 6 cups of water, what is the ratio of rice to water?

• 12/6

• 6/3

• 3/12

• 3/6

Are the ratios 4/3 and 13/9 proportional?

• Yes, they are proportional.

• No, they are not proportional.

• Only 4/3 is proportional.

• Only 13/9 is proportional.

What is the equivalent fraction of 3/5 when both the numerator and denominator are multiplied by 10?

• 30/50

• 3/50

• 30/5

• 15/25

What is the value of 'm' in the proportion 45 = 15m?

• 5

• 4

• 3

• 2

What is the correct way to pair units in a proportion?

• Miles and hours in the numerator

• Miles and hours in the denominator

• Miles in the numerator and hours in the denominator

• Hours in the numerator and miles in the denominator