Question 83898
): Could you please show me in steps how to 
divide this fraction? THank you! {{{(3x+4)/(2x-3)}}}
<pre><font size = 3>
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

             {{{3/2}}}</u>        
       -------
2x - 3 )3x + 4
        3x - {{{9/2}}}
        ------
             {{{17/2}}}

Then write answer as {{{QUOTIENT + REMAINDER/DIVISOR}}}


{{{3/2}}} + {{{(17/2)/(2x-3)}}}


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

{{{3/2}}} + {{{(17)/(4x-6)}}}

Edwin</pre>