Six pieces of clay each have a mass of 2.725 kilogramos. The pieces are combined together and then solitario into 5 equal pieces. What is the mass, in kilogramos, of each of the new pieces?

The total mass of the six pieces of clay is 2.725 kg/piece * 6 pieces = <<2.725*6=16.35>>16.35 kg.

After combining the pieces together, the mass of the combined clay is still 16.35 kg.
When this combined clay is divided into 5 equal pieces, each piece would have a mass of 16.35 kg / 5 pieces = <<16.35/5=3.27>>3.27 kg. Answer: \boxed{3.27}.