Shawnee Powell both run on the same track each morning. The ratio of the number of miles John runs to the number of miles power runs is 5:8.

Let the number of miles John runs be 5x

Let the number of miles Powell runs be 8x
Their total distance every morning is 5x + 8x = <<5x+8x=13x>>13x
The ratio of the number of miles John runs to the total distance is 5x/13x = 5/13. Answer: \boxed{\frac{5}{13}}.

To find the ratio of the number of miles John runs to the number of miles Powell runs, we use the given information that the ratio is 5:8.

This means that for every 5 miles John runs, Powell runs 8 miles.

Let's say John runs x miles.

Then, Powell runs (8/5) * x miles, according to the given ratio.

Therefore, John runs x miles, and Powell runs (8/5) * x miles.

To find the ratio of the number of miles John runs to the number of miles Shawnee runs, we need to determine the common ratio between them.

Let's assume that the number of miles John runs is 5x, where x is a constant.
And the number of miles Shawnee runs is 8x.

So, the ratio of John's distance to Shawnee's distance can be written as 5x:8x.

Alternatively, if you know the specific distances run by either John or Shawnee, you can express the ratio as a simpler fraction.

For example, if John runs 10 miles and Shawnee runs 16 miles, the ratio of John's distance to Shawnee's distance is 10:16, which simplifies to 5:8.

It's important to note that without specific distances for either runner, we can only represent their ratio as a proportion (5x:8x) or a simplified fraction (5:8).