Fans of ballet know what partnering means in ballet, which normally does not resemble social couples dancing. But now FJK Dance, the brainchild of Fadi J. Khoury, the Baghdad-born son of an Iraqi ballet director, is mixing ballet with ballroom, Middle Eastern, and jazz dance, including presenting “Tango Unframed” as part of a program at New York Live Arts on July 23 and 24, according to The New York Times.