SOLUTION: I need to divide and simplify this equation and I'm not exactly sure what to do? 5w-25/121 divided by w-5/77w I start with 5w-25/121 times 77w/w-5 but I'm not sure where to go fr

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: I need to divide and simplify this equation and I'm not exactly sure what to do? 5w-25/121 divided by w-5/77w I start with 5w-25/121 times 77w/w-5 but I'm not sure where to go fr      Log On


   

Question 147246: I need to divide and simplify this equation and I'm not exactly sure what to do?
5w-25/121 divided by w-5/77w
I start with 5w-25/121 times 77w/w-5 but I'm not sure where to go from there
I would really appreciate any help with this, thanks!
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%28%285w-25%29%2F%28121%29%29%2F%28%28w-5%29%2F%2877w%29%29 Start with the given expression.


%28%285w-25%29%2F%28121%29%29%28%2877w%29%2F%28w-5%29%29 Multiply the first fraction %285w-25%29%2F%28121%29 by the reciprocal of the second fraction %28w-5%29%2F%2877w%29.


%28%285%28w-5%29%29%2F%28121%29%29%28%2877w%29%2F%28w-5%29%29 Factor 5w-25 to get 5%28w-5%29.


%28%285%28w-5%29%29%2F%2811%2A11%29%29%28%2877w%29%2F%28w-5%29%29 Factor 121 to get 11%2A11


%28%285%28w-5%29%29%2F%2811%2A11%29%29%28%287%2A11w%29%2F%28w-5%29%29 Factor 77w to get 7%2A11w


%285%28w-5%297%2A11w%29%2F%2811%2A11%28w-5%29%29 Combine the fractions.


Highlight the common terms.


%285cross%28%28w-5%29%297%2Across%2811%29w%29%2F%28cross%2811%29%2A11cross%28%28w-5%29%29%29 Cancel out the common terms.


%285%2A7w%29%2F%2811%29 Simplify.


%2835w%29%2F%2811%29 Multiply.


So %28%285w-25%29%2F%28121%29%29%2F%28%28w-5%29%2F%2877w%29%29 simplifies to %2835w%29%2F%2811%29.


In other words, %28%285w-25%29%2F%28121%29%29%2F%28%28w-5%29%2F%2877w%29%29=%2835w%29%2F%2811%29 where w%3C%3E0 or w%3C%3E5