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

Answer: $\dfrac{5}{6}\text{ of a mile}$

Step-by-step explanation:

Given : The length of the trial = $\dfrac{5}{4}\text{ mile}$

If John has run $\dfrac{2}{3}$ of the trail.

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

$\dfrac{2}{3}\times\dfrac{5}{4}=\dfrac{5}{6}\text{ miles}$

Therfore, John has run  $\dfrac{5}{6}\text{ of a mile}$.

Answer 2

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!