The ornamental design for a purse with multiplecompartments, as shown.
FIG. 1 is a front, top, and side perspective view of a purse with multiple compartments showing my new design;
FIG. 2 is a front elevational view thereof;
FIG. 3 is a rear elevational view thereof;
FIG. 4 is a side elevational view thereof;
FIG. 5 is an opposite side elevational view thereof;
FIG. 6 is a top plan view thereof;
FIG. 7 is a bottom plan view thereof;
FIG. 8 is a rear perspective view thereof with the broken lines showing a fastener being for the purposes of illustrating environment and forming no part of the claimed design; and,