SOLUTION: divide and simplify -7+7w/5 divided by 9w-9/25 I know I have to divide one by the other recipricol but I am getting frustrated and lost

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: divide and simplify -7+7w/5 divided by 9w-9/25 I know I have to divide one by the other recipricol but I am getting frustrated and lost       Log On


   

Question 581482: divide and simplify
-7+7w/5 divided by 9w-9/25
I know I have to divide one by the other recipricol but I am getting frustrated and lost
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
%28-7%2B7w%29%2F5 divided by %289w-9%29%2F25
When diving fractions, you invert the second fraction and change the operation to multiply, so...
%28%28-7%2B7w%29%2F5%29%2A%2825%2F%289w-9%29%29 Rewrite the numerator of first fraction:-7%2B7w+=+%287w-7%29
%28%287w-7%29%2F5%29%2A%2825%2F%289w-9%29%29 Cancel a 5.
%287w-7%29%2A%285%2F%289w-9%29%29 Now factor a 7 from the numerator of the first fraction and a 9 from the denominator of the second fraction.
7%28w-1%29%2A5%2F%289%2A%28w-1%29%29 Cancel the %28w-1%29's
7%2A5%2F9 Simplify.
35%2F9 = 3.9