When you play these chords, you have to dampen the note on the fifth string.You do this by allowing your first finger to touch the fifth string ,but don't press down so hard that the fifth string note sounds when you play the chord.
On the Gm7th chord for instance,put your index[first] finger on the sixth string[the G] and dampen the fifth string with the same first finger.
Put your middle finger on the fourth string[the F] and your ring finger one the third string[Bb].
Without changing the position of your fingers ,slide them up one fret to play G#minor 7th or slide your fingers down one fret to play F#minor 7th.