SOLUTION: Divide and simplify. 2z-2/77 divided by z-1/22z Thank you for any help you can give me.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Divide and simplify. 2z-2/77 divided by z-1/22z Thank you for any help you can give me.      Log On


   

Question 132759: Divide and simplify.
2z-2/77 divided by z-1/22z
Thank you for any help you can give me.
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Divide and simplify:
%28%282z-2%29%2F77%29%2F%28%28z-1%29%2F%2822z%29%29
Remember, to divide fractions, copy the first fraction, flip the divide sign to multiply and flip (invert) the second fraction.
%28%282z-2%29%2F77%29%2A%2822z%2F%28z-1%29%29 Now factor a 2 from the numerator of the first fraction:
%282cross%28%28z-1%29%29%2F77%29%2A%2822z%2Fcross%28%28z-1%29%29%29 Now cancel the (z-1)'s leaving you with:
%282%2F77%29%2A%2822z%2F1%29 Now factor the denominator of the first fraction (77) and the numerator of the second fraction (22z):
%282%2F%287%2Across%2811%29%29%29%2A%28%282%2Across%2811%29%2Az%29%2F1%29 Cancel the 11's to leave you with:
%282%2F7%29%2A%282z%2F1%29 Multiply.
4z%2F7...and there it is!