Understanding Ratios and Simplification

This video tutorial introduces the concept of ratios, explaining how they compare quantities. It demonstrates how to simplify ratios using examples with marbles, such as blue to green and red to purple marbles. The video also covers calculating ratios involving the total number of items and explores ratios with more than two values. The tutorial concludes with a summary and encourages viewers to share the content.

What does a ratio describe?

• The total number of items in a group

• The sum of two quantities

• The difference between two quantities

• How many of one thing there are compared to another

If you have 3 blue marbles and 6 green marbles, what is the simplified ratio of blue to green marbles?

• 2:1

• 3:6

• 6:3

• 1:2

What is the common factor used to simplify the ratio 3:6?

• 2

• 3

• 6

• 1

In the example with red and purple marbles, what is the simplified ratio of red to purple marbles?

• 8:6

• 4:3

• 2:1

• 3:4

What is the common factor used to simplify the ratio 8:6?

• 4

• 3

• 6

• 2

How do you find the total number of marbles when given the number of purple and red marbles?

• Divide the larger number by the smaller

• Add the numbers together

• Subtract the smaller number from the larger

• Multiply the numbers

What is the simplified ratio of purple marbles to total marbles if there are 6 purple marbles and 14 total marbles?

• 3:7

• 14:6

• 6:14

• 7:3

When dealing with ratios involving more than two values, what is important to check?

• If the numbers are all even

• If there is a common factor among all numbers

• If the numbers are all prime

• If the numbers are consecutive

What is the ratio of green to blue to purple marbles if there are 2 green, 5 blue, and 3 purple marbles?

• 5:3:2

• 2:3:5

• 2:5:3

• 3:5:2

Why can't the ratio 2:5:3 be simplified further?

• Because 2, 5, and 3 are consecutive numbers

• Because 2, 5, and 3 have no common factor

• Because 2, 5, and 3 are all even numbers

• Because 2, 5, and 3 are all prime numbers