Pompey saw off Fleetwood to record back-to-back victories for the first time since September.
They won 2-0 at Highbury Stadium to shoot up to 10th position in the League One standings.
Colby Bishop opened the scoring for John Mousinho's side just before the break, only for Joe Morrell to be sent off.
But Joe Pigott followed up after a Ryley Towler header came back off the woodwork to secure the points.
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