Understanding Ratios

This video tutorial explains the concept of ratios, which are comparisons of two quantities in the form of a quotient. It covers how to express ratios in different forms and how to simplify them, similar to fractions. The video provides examples, such as calculating the ratio of male to female students in a class and the ratio of wins to losses in a sports team. It emphasizes the importance of order in ratios and demonstrates how to simplify them by finding common factors. The tutorial concludes with a summary of the key points discussed.

What is a ratio?

• A multiplication of two quantities

• A comparison of three quantities

• A division of a single quantity

• A comparison of two quantities

How can the ratio between A and B be expressed?

• A to B, A plus B, A minus B

• A to B, A colon B, A divided by B

• A minus B, A divided by B, A times B

• A plus B, A colon B, A times B

What is the simplified form of the ratio 12 to 15?

• 5 to 4

• 4 to 5

• 2 to 3

• 3 to 5

If the ratio of females to males is 15 to 12, what is its simplest form?

• 4 to 5

• 3 to 4

• 2 to 3

• 5 to 4

What is the simplified ratio of female students to total students if there are 15 females and 27 total students?

• 5 to 9

• 3 to 5

• 4 to 5

• 2 to 3

What is the ratio of wins to losses if a team won 18 games and lost 6 games?

• 4 to 1

• 5 to 1

• 2 to 1

• 3 to 1

Why is it important to express the ratio of wins to losses as 3:1 and not just 3?

• Because a ratio must compare two numbers

• Because 3 is not a number

• Because 3:1 is a fraction

• Because 3:1 is a percentage

What is the simplified ratio of wins to total games if there are 18 wins and 24 total games?

• 5 to 6

• 4 to 5

• 3 to 4

• 2 to 3

What is the simplified ratio of losses to total games if there are 6 losses and 24 total games?

• 1 to 4

• 1 to 6

• 1 to 3

• 1 to 5

If the ratio of wins to total games is 3 to 4, what should the ratio of losses to total games be?

• 1 to 5

• 1 to 3

• 1 to 4

• 1 to 2