The ornamental design for a frenchfriesprocessingmachine, as shown and described.
FIG. 1 is a front right perspective view of an French fries processing machine showing my new design;
FIG. 2 is a front perspective view thereof;
FIG. 3 is a rear perspective view thereof;
FIG. 4 is a left side elevation view thereof;
FIG. 5 is a right side elevation view thereof;
FIG. 6 is a top plan view thereof;
FIG. 7 is a bottom plan view thereof; and,
FIG. 8 is an exploded perspective of the French fries processing machine, shown with the French fries processing machine compartment opened for completeness of illustration.