Singular possessive: add 's
the dog's bowl, the boss's office, James's car. Chicago style adds 's even to names ending in s; AP style adds only an apostrophe to proper names ending in s (James' car).
Plural possessive ending in s: add only '
the dogs' bowls, the Smiths' house. Make the plural first, then add the apostrophe.
Irregular plurals: add 's
children's books, women's team, people's choice.
Never for plurals
Apple's £1 and the 1990's are errors: write apples and the 1990s. The one widely accepted exception is single lower-case letters: mind your p's and q's.
Possessive pronouns take none
its, yours, hers, ours, theirs, whose. With an apostrophe, it's and who's are contractions.
Joint and separate ownership
Sam and Lee's flat (they share one). Sam's and Lee's flats (each has their own).
Frequently asked
Is it "James'" or "James's"?
Both are accepted. Chicago style prefers James's; AP prefers James'. Be consistent.
Where does the apostrophe go in "the Joneses"?
Plural family name: the Joneses. Possessive of that plural: the Joneses' car.