Answer
IUPAC: 5-hydroxyhexan-3-one
Common name: ethyl β-hydroxypropyl ketone
Work Step by Step
IUPAC: There are six carbons with single bonds, so it's a hexane. The ketone has a higher priority so it gets the lowest number, 3. The OH is on the carbon 5 so it's 5-hydroxyhexan-3-one.
Common name: The carbon attached to the C=O is alpha carbon, then the carbon after it is beta carbon. Since the OH is on the beta carbon and there is a propyl on the left side of C=O, its β-hydroxypropyl ketone. There is a ethyl group on the other side so its ethyl β-hydroxypropyl ketone