An analysis is developed for the change in boundary-laye r properties across a system of weak glancing shock/boundary-layer interactions. For a control volume about a given interaction, integral continuity, crossstream momentum, and streamwise momentum equations are solved for the boundary-layer properties downstream of the interaction. Analytic functions are used to represent the velocity distributions in directions normal and tangential to the shock. A procedure is developed to generate these functions where the boundary layer has passed through one or more upstream interactions. Starting with the upstream interaction, the change in boundary-laye r properties is computed sequentially. Computed results are presented for two pairs of interactions; in the first pair, the shocks are of the same family, and in the second pair, the shocks are of opposite family. Computed results are in qualitative agreement with available experimental observations.