Simplifying Ratios and Equivalent Values

The video tutorial covers the concept of equivalent ratios, demonstrating how to simplify ratios to their simplest form and explaining the theorem that states equivalent ratios have the same value. It includes practical applications, such as Tavon's training schedule, to illustrate how these concepts apply in real-world scenarios.

What is the simplest form of the ratio 5 to 10?

• 1/2

• 2/5

• 5/10

• 1/5

Which of the following ratios is equivalent to 1/2?

• 5/10

• 3/8

• 6/16

• 12/32

What is the simplest form of the ratio 6 to 16?

• 2/5

• 3/8

• 1/2

• 6/16

According to the theorem, if two ratios are equivalent, what can be said about their values?

• One is larger

• One is smaller

• They are the same

• They are different

Why can't there be counterexamples to the theorem about equivalent ratios?

• Because ratios are always equal

• Because ratios cannot be compared

• Because equivalent ratios always have the same value

• Because equivalent ratios always have different values

What is the ratio of running to cycling miles in Tavon's training?

• 5 to 10

• 4 to 14

• 2 to 7

• 1 to 3

Is the ratio 80 to 280 consistent with Tavon's training schedule?

• No, because they simplify to different values

• Yes, because both simplify to 2 to 7

• No, because they are not equivalent

• Yes, because they are both large numbers

What is the simplest form of the ratio 80 to 280?

• 4/14

• 1/3

• 8/28

• 2/7

In one session, Tavon ran 4 miles and cycled 7 miles. Is this consistent with his usual training ratio?

• Yes, because they are equivalent

• No, because they are not ratios

• No, because 4 to 7 is not equal to 2 to 7

• Yes, because both are simplified

What is the value of the ratio 4 to 14 in simplest form?

• 2/7

• 4/14

• 1/2

• 3/8