SOLUTION: x/2+x/5=5/4 I know the least common denominator is 20. Can work half of the problem but at the end I got stuck with a fraction now i am lost.

Algebra ->  Equations -> SOLUTION: x/2+x/5=5/4 I know the least common denominator is 20. Can work half of the problem but at the end I got stuck with a fraction now i am lost.      Log On


   

Question 399947: x/2+x/5=5/4 I know the least common denominator is 20. Can work half of the problem but at the end I got stuck with a fraction now i am lost.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi,  

%28x%2F2%29+%2B+%28x%2F5%29+=+%285%2F4%29  |multiplying each term by 20

%2820x%2F2%29+%2B+%2820x%2F5%29+=+20%285%2F4%29

   10x + 4x = 25

       14x = 25

         x = 25/14



CHECKING our Answer***

 %2825%2F14%29%2F2+%2B+%2825%2F14%29%2F5 =  25/28 + 5/14 = 25/28 + 10/28 = 35/28 = 5/4