Mike has two-thirds of the minutes that Payton has. Create a diagram illustrating the relationship. Payton has ___ times as many minutes as Mike.

3/2

Thank you. How did you obtain this information? I'm having a hard time figuring it out still?

you know that

m = 2/3 p

That can be written as

3m = 2p
So,
p = 3/2 m

Or, knowing that (2/3)*(3/2) = 1

m = 2/3 p
multiply both sides by 3/2 and you have
3/2 m = p

To create a diagram illustrating the relationship between Mike and Payton's minutes, we need to understand the given information.

We are told that Mike has two-thirds of the minutes that Payton has. This means that if we take Payton's total minutes and divide it into three equal parts, Mike would have two of those parts.

Let's say Payton has X minutes.
Then, according to the given information, Mike would have (2/3)X minutes.

To summarize:
Payton's minutes: X
Mike's minutes: (2/3)X

To illustrate this relationship in a diagram, we can draw two bars representing Payton's and Mike's minutes. The length of Payton's bar would be X, and the length of Mike's bar would be (2/3)X.

Diagram:
____________________________________
| | <- Payton's bar (length X)
____________________________________
| | <- Mike's bar (length (2/3)X)

Therefore, Payton has (2/3) times as many minutes as Mike.