Understanding Equivalent Ratios and Fractions

The video tutorial explains the concept of equivalent ratios, showing how they represent the same relationship in different terms. It demonstrates how to express ratios as fractions and find equivalent ratios by multiplying or dividing both terms. The tutorial emphasizes maintaining the relationship between numbers to ensure equivalency.

What is an equivalent ratio?

• A ratio that is larger than another

• A ratio that represents the same relationship in different terms

• A ratio that is smaller than another

• A ratio that is unrelated to another

How can a ratio be expressed as a fraction?

• By multiplying the numbers

• By writing the first number over the second

• By subtracting the numbers

• By adding the numbers

What is the fraction form of the ratio 4 to 12?

• 3/6

• 12/4

• 4/12

• 6/3

What happens when you multiply both terms of a ratio by the same number?

• The ratio becomes smaller

• The ratio becomes larger

• The ratio becomes unrelated

• The ratio remains equivalent

If you multiply the ratio 4:12 by 2, what is the new ratio?

• 4:12

• 8:24

• 2:6

• 12:36

What is the result of dividing both terms of the ratio 4:12 by 2?

• 8:24

• 2:6

• 4:12

• 1:3

How can you make a ratio smaller?

• By multiplying both terms by the same number

• By dividing both terms by the same number

• By subtracting a number from both terms

• By adding a number to both terms

What is the equivalent ratio of 4:12 when divided by 2?

• 2:6

• 8:24

• 1:3

• 6:18

What is the key relationship in equivalent ratios?

• The second number is a multiple of the first

• The first number is always larger

• The first number is a multiple of the second

• The second number is always larger

In the ratio 2:6, how many times larger is the second number compared to the first?

• Two times

• Three times

• Four times

• Five times