Miley Cyrus and her fiancé, Liam Hemsworth, stayed busy, though apart, yesterday. She was in LA to shop at American Apparel with friends, and wore an interesting outfit for the jaunt — she paired biker boots with cutoffs, and even a crop top. Liam, meanwhile, was in '80s gear to shoot Empire State in New Orleans. The couple got engaged just about a month ago, but have spent much of it in different cities. Miley was able to swing through Louisiana for a few days before continuing on to Florida, where she worked on her new album. It wasn't all work, though, since Miley fit in some bikini time at her hotel's pool. They're not in the same place, but Liam's in Miley's thoughts. She tweeted yesterday, "I love being a 'fiancée.'"