help with simplifying

Here's  the  easy  way

Suppose we  have 

6q^2  + 12 q

__________

        2q

Since  we have addition on the top....we can  just   divide  this up  as

6q^2                12q

_____  +        _____   =

  2q                    2q

3q   +  6     !!!

Works the  same with subtraction

Be careful,though

We CANNOT   split   multiplication

6x^2                                                   6             x^2

____    does   NOT EQUAL            ____ *       ____

 2x                                                     2x             2x

Here....we  just  cancel  on top/bottom  =   3x

Hope that helps....

Thanks Chris,

I'll give it a go too :)

Say you want to simplify the fraction    \(\frac{10}{15}\)

what you need to look for is common factors for the top and bottom, the common factor here is 5

\(\frac{10}{15}=\frac{5*2}{5*3}\)

I can cancel out the common factor and I will be left with     \(\frac{2}{3}\)

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

It works exactly the same there are letters involved.

\(\frac{9(x+y)}{9}=\frac{{9}*(x+y)}{9*1}=\frac{(x+y)}{1}=x+y\)

\(\frac{3t+6t^2}{3t}=\frac{3t*(1+2t)}{3t*1}=\frac{1+2t}{1}=1+2t\)