My mother has had this plant around the house for as long as I can remember. (~35 years) Can I just cut off a branch and plant it in a pot like that? A frag so to say? Thank you.
I do that to all kinds of plants. Tearing it off is better then a clean cut. Keep it moist until it grows roots. Not soggy, but moist. This will allow the plant to survive until it grows a root system.