Question 156402
Addition and Subtraction of Rational Expressions 
Add or subtract the following:

{{{(z+3)/2+7/2}}}
<pre><font size = 4 color = "indigo"><b>
The denominators are the same, 2, so combine the tops over
this common denominator, 2:

{{{((z+3)+7)/2}}}

Remove the parentheses:

{{{(z+3+7)/2}}}

Simplify

{{{(z+10)/2}}}

That's it!:

-------------------

{{{3/z - (z-4)/z}}}


The denominators are the same, z, so combine the tops over
this common denominator, z:

{{{(3-(z-4))/z}}}

Remove the parentheses:

{{{(3-z+4)/z}}}

Simplify

{{{(7-z)/z}}}

That's it!:


-----

{{{(8y-3)/(y+7)-(4y-1)/(y+7)}}}


The denominators are the same, {{{y+7}}}, so combine the tops over
this common denominator, {{{y+7}}}:

{{{((8y-3)-(4y-1))/(y+7)}}}

Remove the parentheses:

{{{(8y-3-4y+1)/(y+7)}}}

Simplify

{{{(4y-2)/(y+7)}}}

That's it!:            

Edwin</pre></font></b>