SOLUTION: Could you please show me in steps how to divide this fraction? THank you! (3x+4)/(2x-3)

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Question 83898: Could you please show me in steps how to divide this fraction? THank you! (3x+4)/(2x-3)
Answer by Edwin McCravy(20059) About Me  (Show Source):
You can put this solution on YOUR website!
): Could you please show me in steps how to
divide this fraction? THank you! %283x%2B4%29%2F%282x-3%29

Are you really sure you're supposed to divide this?

Most teachers and books would say this is in
the simplest possible form as it is.

However, it can be divided out, but it then 
won't be in simplest form.

The only way to divide it is long division

             3%2F2        
       -------
2x - 3 )3x + 4
        3x - 9%2F2
        ------
             17%2F2

Then write answer as QUOTIENT+%2B+REMAINDER%2FDIVISOR


3%2F2 + %2817%2F2%29%2F%282x-3%29


Now the second fraction can be simplified by multiplying
numerator and denominator by 2

3%2F2 + %2817%29%2F%284x-6%29

Edwin