SOLUTION: Divide and, if possible, simplify. (4x^2)/5 ÷ (x^3)/30

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Divide and, if possible, simplify. (4x^2)/5 ÷ (x^3)/30      Log On


   

Question 283952: Divide and, if possible, simplify.

(4x^2)/5 ÷ (x^3)/30
Answer by JenniferTutors(83) About Me  (Show Source):
You can put this solution on YOUR website!
For this problem:

%284x%5E2%29%2F5%29divided by%28x%5E3%29%2F30
You cannot divide the two, you have to multiply the reciprocal (flip) of the 2nd fraction:
%284x%5E2%2F5%29%2830%2Fx%5E3%29
Next you can simplify by subtracting like terms, the x's in this case:
x%5E3+-+x%5E2+=+x

%284%2Across%28x%5E2%29%2F5%29%2830%2Fx%29
Next you can simplify the 30 and 5 by dividing the 5 into itself and 30 six times.
%284%2F5%29%2830%2Fx%29
%284%2Fcross%285%29%29%286%2Fx%29
Now multiply across:
%284%2F1%29%286%2Fx%29
24%2Fx