This memo proposes a solution, based on fractional addresses, to face the IPv4 public address exhaustion. It details the solution and presents a mock-up implementation, with the results of tests that validate the concept. It also describes architectures and how fractional addresses are used to overcome the IPv4 address shortage. A comparison with the alternative Carrier-Grade NAT (CG-NAT) solutions is also elaborated in the document. The IPv6 variant of this solution is described in a companion draft.