TRY IT:

Solve         (2/7)x - 1/2 = (2/3)( 4x -1 ) 

*There are three denominators to ditch!


Now for decimals...  These are a snap!

If we want to solve this guy...

2.7x + 5 = 1.3

Let's clear out those decimals first!

2.7x + 5 = 1.3
There is ONE place behind each of the decimals... 
So, multiply by
10.  << one zero

10 ( 2.7x + 5 ) = 10 ( 1.3 )  which gives  27x + 50 = 13  Ditch the 50...  27x + 50 - 50 = 13 - 50  which gives  27x = -37   Ditch the 27...  27x/27 = -37/27  which gives  x = -37/27