Neil, there may be a variety of factors that can cause a break off.
However, to consider is this;
1 Are you fighting your fish harder now that you dont eat what you catch hencenow releasing them? A 3lb trout thrashing on a short line can easily snap 6lb line if the rod is at full extension and there is no "give" left in the line or rod.
2 What knot are you using? Most folk will reccomend either the Davy knot or the Grinner/Uni knot between 3 - 6 turns depending on heavier or lighter fluoro lines.
3 Always remember to moisten and slowly tighten up your knots - never give them a hard and fast yank to tighten up a knot.
4 Have you changed the way you tie your droppers?
5 is the line breaking at the knot or elsewhere?
There are many on here far more knowledgable than me so I am sure you will get some better help shortly
Benjamin