Question 72212
<pre>

{{{(4+(3/y))/(1-(2/y))}}}

From this expression, we can rewrite it as this:

      3                2 
4  + ___   ÷   1  -   ___
      
      y                y


Simplify

  4y + 3      y - 2
 _______  ÷  ______
 
   y           y 

Remember: 
     {{{(a/b)}}}÷{{{(c/d)}}} = {{{((a/b)*(d/c))}}} 

  4y + 3        y 
 _______  *  ______
 
   y         y - 2

      y(4y + 3)
     __________

      y (y - 2)

Divide common factor 

      {{{cross(y)}}}(4y + 3)
     __________

      {{{cross(y)}}} (y - 2)


Answer is :

       4y + 3
      _______

       y - 2