This document introduces Linked Data Fragments, which is an approach to querying Linked Data in a scalable and reliable way by moving intelligence from centralized servers to distributed clients. It describes how basic Linked Data Fragments can be used to answer SPARQL queries by retrieving and combining relevant fragments. The vision is for clients to be able to query different Linked Data sources across the web using various types of fragments. All Linked Data Fragments software is available as open source.