Question

James is running on a trail that is 5/4 of a mile long. So far he has run 2/3 of the trail. How many miles has he run so far?

Answer 1

Step 1) You would need to convert your 2 fractions into equivalent numbers. In this case, the closet gcf (greatest common factor) is 12. So, 5/4 would convert to 15/12 and 2/3 converts to 8/12.

Step 2) You know have your decimals that are equivalent. All you have left now is to subtract. Take 15/12 and subtract 8/12 from it. You would now get 7/12 of a mile that is still needed to run.

Step 3) Usually, you would simplify your new fraction. In this case, our fraction doesn't simplify. It will stay 7/12 of a mile. For example, If our number had ended up being 4/12, then we would simplify it to 1/3 of a mile. Because, 4 divided by 4 is 1 and 12 divided by 4 is 3. You can't simplify your answer anymore.

Hope this helped!

Answer 2

Answer:
`(5)/(6)\text{ of a mile}`

Explanation:

Given : The length of the trial =
`(5)/(4)\text{ mile}`

If John has run
`(2)/(3)` of the trail.

Then, the total miles he has run will be :-

`(2)/(3)*(5)/(4)=(5)/(6)\text{ miles}`

Therfore, John has run
`(5)/(6)\text{ of a mile}`.