# John ran track 1/8 of a mile long. He ran around 24 times. How many miles does he run?

##### adam, Noodle Person

So, if the track is 1/8 of a mile, let's call every lap a "one-eighth mile" run. We know John ran 24 laps, or that he ran 24 "one-eighth miles," just consecutive, one right after another. Let's stop worrying about rates or tricks or math for a second, and just ask: how many real miles is 24 "one-eighth" miles? We know it's less than 24---a lot less, since you have to go around 8 times just to get to 1 mile. Well wait, if we go around 8 times, we get 1 mile. That means if we go around 28, or 16 times, we get 2 miles; And let's just think to the next full mile---if we go 38, or 24 times, we get 3 miles. He did go around 24 times, so he must have run 3 miles on a 1/8 track.

Division and multiplication are inverses of each other. So we solved this by looking for an intuition for how many full miles corresponded to how many laps, with a bunch of steps of multiplication. But you can cut right to the chase and solve it faster with division---24 laps * 1 mile per 8 laps, means:

total distance = 24 Lap (1 mi / 8 Lap) total distance = 24/8 total distance = 3

##### Paola Arteaga, Just multiply fraction by times then you dived the result to obtain miles

1/8 x 24/1 = 24/8 24 divedstrong text by 8 = 3 miles.

##### Arnold, Speed

This is valid for original copies both distributed and unpublished casinoplanet.canalblog.com. What's more, it's vital to note write my research paper that none of what I'm going to state is gospel.

##### Anonymous, Nicky

Well, to be honest I have never been good at maths. I will try to solve this problem with the help of uk superior papers. They are so good, I think you should also ask them for any help.

##### Anonymous, He is doing good

That means he ran 3 miles

##### eva joseph, rachel

witch one is the answerstrong text

##### Anonymous, Community member

If the track is one eight of a mile long this means he would have to run around 8 times in order to run one mile. And since he ran around 24 times we can say that he has run 3 miles.

• 8 laps = 1 mile
• 24 laps = 3 miles