SOLUTION: I need some help with this problem please. THnak you. Divide and simplify (11z-77)/9÷(z-7)/15z

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: I need some help with this problem please. THnak you. Divide and simplify (11z-77)/9÷(z-7)/15z       Log On


   

Question 636304: I need some help with this problem please. THnak you.
Divide and simplify
(11z-77)/9÷(z-7)/15z


Answer by Edwin McCravy(20059) About Me  (Show Source):
You can put this solution on YOUR website!

%2811z-77%29%2F9÷%28z-7%29%2F15z

Invert the second fraction and change the division 
to multiplication:

%2811z-77%29%2F9·%2815z%29%2F%28z-7%29

Factor the numerator 11z-77 as 11(z-7)

%2811%28z-7%29%29%2F9·%2815z%29%2F%28z-7%29

Cancel the (z-7)'s

%2811%28cross%28z-7%29%29%29%2F9·%2815z%29%2F%28cross%28z-7%29%29

11%2F9·%2815z%29%2F1

Divide the 15 and the 9 by 3

11%2F3·%285z%29%2F1

55z%2F3

Edwin