Understanding Ratios and Equivalent Ratios

The video tutorial by Mr. J explains equivalent ratios, which are ratios with different numbers but the same relationship. It covers how to find equivalent ratios using multiplication and division, similar to equivalent fractions. Two examples are provided: the first uses the ratio 1 to 5, and the second uses 12 to 8. The video demonstrates how to find equivalent ratios by multiplying or dividing both terms of a ratio by the same number. It concludes with a summary of the methods discussed.

What is the primary purpose of a ratio?

• To compare quantities or numbers

• To add numbers together

• To divide numbers

• To subtract numbers

Which of the following is an equivalent ratio to 1:5 when both terms are multiplied by 2?

• 3:15

• 2:10

• 5:25

• 4:20

In the visual representation of equivalent ratios, what do the x's and o's represent?

• x's represent the second term and o's represent the first term

• x's represent the first term and o's represent the second term

• x's and o's both represent the same term

• x's represent numbers and o's represent letters

If you multiply both terms of the ratio 1:5 by 5, what is the resulting equivalent ratio?

• 5:25

• 10:50

• 15:75

• 20:100

What is the equivalent ratio to 1:5 when both terms are multiplied by 20?

• 20:100

• 40:200

• 80:400

• 60:300

What is the equivalent ratio to 12:8 when both terms are divided by 2?

• 8:4

• 6:4

• 12:6

• 3:2

Which common factor can be used to divide the ratio 12:8 to find an equivalent ratio?

• 2

• 3

• 7

• 5

What is the equivalent ratio to 12:8 when both terms are divided by 4?

• 12:8

• 3:2

• 6:4

• 9:6

If you multiply both terms of the ratio 12:8 by 10, what is the resulting equivalent ratio?

• 150:110

• 120:80

• 140:100

• 130:90

What is a key takeaway about finding equivalent ratios?

• You can only use multiplication

• You can use multiplication or division as long as you apply it to both terms equally

• You can only use division

• You must use different numbers for each term