The Duke and Duchess of Cambridge finally wrapped up their trip to Southern California on Sunday by visiting an inner-city school in downtown Los Angeles's notorious Skid Row area and attending a job fair for veterans.

Prince William and his wife Catherine were welcomed to the Inner City Arts academy by six elementary-aged children holding a welcome banner while a crowd of about 150 people cheered and looked on, some waving British and American flags.

Kate, as she is better known, wore a navy-and-white crochet top and a white pleated skirt, both by the UK fashion company Whistles.

Cynthia Harnisch, the academy's president and chief executive officer, spoke to the couple about Skid Row and the challenges of poverty and homelessness faced by many students at the school.

The duke and duchess were then escorted to a visual arts studio where they donned art smocks and sat at easels to paint.

A group of teenage dancers then performed for the couple, who appeared to enjoy the show.

Fifteen-year-old Iliana Samaniego, who was in the troupe, said she was thrilled when William gave a double thumbs up and told them 'brilliant' at the end of the performance.

Just seeing the smile on Catherine, it was great, said Samaniego, one of the 16 dancers.

Skid Row, with its intractable poverty and largely homeless population, could hardly stand in starker contrast to the more glitzy parts of Southern California that the couple has seen on their whirlwind visit.