SOLUTION: Hello. I am not positive I put in the right topic. We are learning complex algebraic fractions. I solved a problem, and I am not sure if i solved it correctly, and if I did I am no

Question 190905: Hello. I am not positive I put in the right topic. We are learning complex algebraic fractions. I solved a problem, and I am not sure if i solved it correctly, and if I did I am not sure how to show the work for the check. the problem is x-1/x + 7/3x = 9/4x
we have to cancel the denominators by finding an LCD and multiplying by that.
EX: LCD for the above problem is 12x, so i would x x-1 x 12x and the x and 12 x simplify it to 12x-12.
The answer i got is 11/12, but I am not sure if it is correct.
If not, please provide help on solving it because I am quite confused, and if you don't mind please assist me in the check (if the correct solution is a fraction because my teacher goes too fast and never stops so I am not able to ask for help)
thank you so much for your help :)
~Katie
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
the problem is + =
I think you are right but let's just go thru it and check the solution
12x* + 12x* = 12x*
Cancel out the denominators and you have:
12(x-1) + 4(7) = 3(9)
12x - 12 + 28 = 27
12x + 16 = 27
12x = 27 - 16
12x = 11
x = just as you said
:
:
But you can be sure by substituting 11/12 for x in the original problem:
+ =
Remember when you have a fraction in the denominator, you invert it and mult
the numerator:
((11/12) - 1)*(12/11)) + 7(12/33) = 9(12/44)
:
((-1/12)*(12/11)) + 7(12/33) = 9(12/44)
;
(-1/11) + (84/33) = (108/44)
;
Reduce the fractions
(-1/11) + (28/11) = (27/11); confirms our solution
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