How do you solve #x/2 + 2/3 = 5/6#?
The L.C.M of the denominators of the fractions of the R.H.S
Notice that all the denominators are factors of 6
To change the way a number looks without changing its value multiply by 1 but where 1 is in another form. For example
As everything is divided by 6 the equation is also true if we totally ignored the 6. Alternatively if you are not 'happy' about doing that this will get you to the same point:
Multiply everything by 6 giving:
Subtract 4 from both sides:
Divide both sides by 3