SOLUTION: Please help! 5z-15/33 divided by z-3/77z It's 5z-15 over 33 divided by z-3 over 77z. I have worked through this multiple times and come up with many different answers, the most

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Please help! 5z-15/33 divided by z-3/77z It's 5z-15 over 33 divided by z-3 over 77z. I have worked through this multiple times and come up with many different answers, the most       Log On


   

Question 303466: Please help!
5z-15/33 divided by z-3/77z
It's 5z-15 over 33 divided by z-3 over 77z.
I have worked through this multiple times and come up with many different answers, the most recent being 35z/3. I would really appreciate some guidance! Thank you!
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%28%285z-15%29%2F33%29%2F%28%28z-3%29%2F%2877z%29%29 Start with the given expression.


%28%285z-15%29%2F33%29%28%2877z%29%2F%28z-3%29%29 Multiply the first fraction by the reciprocal of the second fraction.


%28%285%28z-3%29%29%2F33%29%28%2877z%29%2F%28z-3%29%29 Factor 5z-15 to get 5%28z-3%29


%28%285%28z-3%29%29%2F%2811%2A3%29%29%28%2877z%29%2F%28z-3%29%29 Factor 33 to get 11*3


%28%285%28z-3%29%29%2F%2811%2A3%29%29%28%2811%2A7z%29%2F%28z-3%29%29 Factor 77z to get 11*7z


%285%28z-3%29%2A11%2A7z%29%2F%2811%2A3%28z-3%29%29 Combine the fractions.


Highlight the common terms.


Cancel out the common terms.


%285%2A7z%29%2F3 Simplify


%2835z%29%2F3 Multiply 5 and 7z to get 35z


So %28%285z-15%29%2F33%29%2F%28%28z-3%29%2F%2877z%29%29 simplifies to %2835z%29%2F3


In other words, %28%285z-15%29%2F33%29%2F%28%28z-3%29%2F%2877z%29%29=%2835z%29%2F3 where z%3C%3E3 or z%3C%3E0


So you are correct. You can graph the original expression and the result to verify that they are indeed the same graph.