What is the cheapest way to travel from Frankfurt to Dresden in a budget?
 

Traveling to Frankfurt in June and was looking for some pointers to travel to Dresden in an inexpensive way.

hitchhike.... or Mitfahrgelegenheit Mitfahrzentrale Deutschland-Reisen in Europa ab 0 €-Mitfahrzentrale.de

What's "inexpensive" for you ?
RTWbyBike's suggestions above are probably cheapest, but if those don't
work for you,
Deutsche Bahn - Home has many direct trains for
about 50-60 Euros one-way

I won't hitchike, but i know that the internetsites provided by RTWbyBIKE.com are really reliable and very cheap. Unfortunately you did not write which Frankfurt you mean - Oder or Main? Since there is a big difference when it comes to the distance...Frankfurt Oder<>Dresden can be 20EUR taking the train, Frankfurt Main<>Dresden can be a lot more expensive...