Finding Equivalent Ratios: Key Concepts and Examples

The video tutorial by Mr. J explains equivalent ratios, which are ratios that have different numbers but represent the same relationship. The tutorial 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 the ratio 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 do equivalent ratios represent?

• Different numbers with the same comparison

• The same numbers with different comparisons

• A direct proportion between quantities

• A method to solve equations

How can we find equivalent ratios?

• By squaring both terms

• By multiplying or dividing both terms by the same number

• By subtracting the same number from both terms

• By adding the same number to both terms

What visual representation was used to explain equivalent ratios?

• Dots and squares

• X's and O's

• Numbers and letters

• Bars and lines

What does it mean when ratios are proportional?

• They are found by adding numbers

• They represent the same quantity

• They have the same value when simplified

• They can only be found using multiplication

Why was multiplication used in the first example to find equivalent ratios?

• Because division is not a valid operation for ratios

• Because the only common factor was one

• Because multiplication is easier than division

• Because it was the only method available

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

• 24 to 16

• 6 to 4

• 3 to 2

• 12 to 8

What is another equivalent ratio of 12 to 8 when both terms are divided by 4?

• 3 to 2

• 12 to 8

• 6 to 4

• 24 to 16

What is the result of multiplying both terms of the ratio 12 to 8 by 10?

• 6 to 4

• 24 to 16

• 120 to 80

• 3 to 2

What allows us to use division to find equivalent ratios in the second example?

• The absence of any common factors

• The use of larger numbers

• The presence of common factors other than one

• The specific request of the problem

How can equivalent ratios be identified?

• By their visual representation

• By their unique values

• By their difference in terms

• By their proportional relationship