Understanding Equivalent Ratios

The video tutorial explains how to determine if two ratios are equivalent by using multiplication. It begins with an introduction to equivalent ratios, followed by an example using one half and two fourths. The tutorial then demonstrates how to use multiplication to show equivalence and find multipliers to convert one ratio to another. Finally, it provides an example of non-equivalent ratios to illustrate the concept further.

What is the main goal when determining if two ratios are equivalent?

• To find the sum of the ratios

• To check if they have the same value

• To convert them into fractions

• To divide them by the same number

Which of the following pairs of ratios are equivalent?

• 2/3 and 4/5

• 3/5 and 6/10

• 1/2 and 2/4

• 1/2 and 3/4

How can you demonstrate that two ratios are equivalent?

• By subtracting the denominators

• By adding the numerators

• By multiplying both the numerator and denominator by the same number

• By dividing the numerator by the denominator

What is the equivalent of 1/2 when multiplied by 2/2?

• 4/4

• 3/4

• 2/4

• 1/4

What is the first step in finding an equivalent ratio?

• Add the numerators

• Choose a multiplier

• Subtract the denominators

• Divide the ratio by 2

Why is it important to multiply both the numerator and denominator by the same number?

• To keep the ratio equivalent

• To make the ratio larger

• To simplify the ratio

• To change the ratio

What is the equivalent ratio of 3/5 when multiplied by 5?

• 10/15

• 15/25

• 9/15

• 15/30

If a ratio is 15/25, is it equivalent to 15/66?

• Only if divided by 3

• Yes, they are equivalent

• No, they are not equivalent

• Only if multiplied by 2

What happens if you multiply the numerator and denominator by different numbers?

• The ratio remains equivalent

• The ratio becomes non-equivalent

• The ratio is simplified

• The ratio becomes a fraction

What is the equivalent ratio of 3/5 when multiplied by 3?

• 15/25

• 9/15

• 12/20

• 6/10