  We use a geometric approach to construct a flux formulation for the SL(5)
U-duality manifest exceptional field theory. The resulting formalism is
well-suited for studying gauged supergravities with geometric and non-geometric
fluxes. Here we describe all such fluxes for both M-theory and IIB supergravity
including the Ramond-Ramond fields for compactifications to seven dimensions.
We define the locally non-geometric "R-flux" and globally non-geometric
"Q-flux" for M-theory and find a new locally non-geometric R-flux for the IIB
theory. We show how these non-geometric fluxes can be understood geometrically
and give some examples of how they fluxes can be generated by acting with
dualities on solutions with geometric or field-strength flux.
