The fret is the fingerboard
Although strictly speaking, the fret is the metal strip itself, the area behind the metal strip towards the headstock is known as being that fret. When the string is pushed against that fret wire and plucked a new tone is produced. Guitars have usually between 18 to 21 frets and are numbered starting at the headstock end as number 1.
If you get stuck recalling the name fret on the fingerboard Mammoth Memory are here to help with the following picture:
Imagine your fingers when bored (fingerboard) threatening (fret) you.